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Finding the Third Proportional to 10,165,834.13 and 15,487,012.69

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Solution

The third proportional to 10,165,834.13 and 15,487,012.69 is: 23,593,495.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165,834.13 : 15,487,012.69 = 15,487,012.69 : x
  2. Step 2: Convert to fraction form
    10,165,834.13/15,487,012.69 = 15,487,012.69/x
  3. Step 3: Cross multiply
    10,165,834.13x = 15,487,012.69 × 15,487,012.69
  4. Step 4: Simplify right side
    10,165,834.13x = 239,847,561,982,785.97
  5. Step 5: Solve for x
    x = 239,847,561,982,785.97/10,165,834.13
  6. Step 6: Final answer
    x = 23,593,495.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.