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Finding the Third Proportional to 9,447,255,106 and 20,296,508,324

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Solution

The third proportional to 9,447,255,106 and 20,296,508,324 is: 43,605,073,169.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447,255,106 : 20,296,508,324 = 20,296,508,324 : x
  2. Step 2: Convert to fraction form
    9,447,255,106/20,296,508,324 = 20,296,508,324/x
  3. Step 3: Cross multiply
    9,447,255,106x = 20,296,508,324 × 20,296,508,324
  4. Step 4: Simplify right side
    9,447,255,106x = 411,948,250,146,201,272,320
  5. Step 5: Solve for x
    x = 411,948,250,146,201,272,320/9,447,255,106
  6. Step 6: Final answer
    x = 43,605,073,169.30

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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.