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Finding the Third Proportional to 15,744,466 and 25,709,295

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Solution

The third proportional to 15,744,466 and 25,709,295 is: 41,980,963.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744,466 : 25,709,295 = 25,709,295 : x
  2. Step 2: Convert to fraction form
    15,744,466/25,709,295 = 25,709,295/x
  3. Step 3: Cross multiply
    15,744,466x = 25,709,295 × 25,709,295
  4. Step 4: Simplify right side
    15,744,466x = 660,967,849,397,025
  5. Step 5: Solve for x
    x = 660,967,849,397,025/15,744,466
  6. Step 6: Final answer
    x = 41,980,963.30

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.