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Finding the Third Proportional to 2,199,292,169,332.70 and 4,734,704,644,227.60

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Solution

The third proportional to 2,199,292,169,332.70 and 4,734,704,644,227.60 is: 10,193,019,545,407.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199,292,169,332.70 : 4,734,704,644,227.60 = 4,734,704,644,227.60 : x
  2. Step 2: Convert to fraction form
    2,199,292,169,332.70/4,734,704,644,227.60 = 4,734,704,644,227.60/x
  3. Step 3: Cross multiply
    2,199,292,169,332.70x = 4,734,704,644,227.60 × 4,734,704,644,227.60
  4. Step 4: Simplify right side
    2,199,292,169,332.70x = 22,417,428,068,070,402,692,218,880
  5. Step 5: Solve for x
    x = 22,417,428,068,070,402,692,218,880/2,199,292,169,332.70
  6. Step 6: Final answer
    x = 10,193,019,545,407.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.