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Finding the Third Proportional to 13,700,863 and 29,468,442

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Solution

The third proportional to 13,700,863 and 29,468,442 is: 63,382,071.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700,863 : 29,468,442 = 29,468,442 : x
  2. Step 2: Convert to fraction form
    13,700,863/29,468,442 = 29,468,442/x
  3. Step 3: Cross multiply
    13,700,863x = 29,468,442 × 29,468,442
  4. Step 4: Simplify right side
    13,700,863x = 868,389,073,907,364
  5. Step 5: Solve for x
    x = 868,389,073,907,364/13,700,863
  6. Step 6: Final answer
    x = 63,382,071.18

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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.