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Finding the Third Proportional to 2,199,292,169,394 and 4,734,704,644,338

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Solution

The third proportional to 2,199,292,169,394 and 4,734,704,644,338 is: 10,193,019,545,598.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199,292,169,394 : 4,734,704,644,338 = 4,734,704,644,338 : x
  2. Step 2: Convert to fraction form
    2,199,292,169,394/4,734,704,644,338 = 4,734,704,644,338/x
  3. Step 3: Cross multiply
    2,199,292,169,394x = 4,734,704,644,338 × 4,734,704,644,338
  4. Step 4: Simplify right side
    2,199,292,169,394x = 22,417,428,069,115,827,796,836,352
  5. Step 5: Solve for x
    x = 22,417,428,069,115,827,796,836,352/2,199,292,169,394
  6. Step 6: Final answer
    x = 10,193,019,545,598.98

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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.