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Finding the Third Proportional to 10,457,538 and 15,987,294

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Solution

The third proportional to 10,457,538 and 15,987,294 is: 24,441,084.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457,538 : 15,987,294 = 15,987,294 : x
  2. Step 2: Convert to fraction form
    10,457,538/15,987,294 = 15,987,294/x
  3. Step 3: Cross multiply
    10,457,538x = 15,987,294 × 15,987,294
  4. Step 4: Simplify right side
    10,457,538x = 255,593,569,442,436
  5. Step 5: Solve for x
    x = 255,593,569,442,436/10,457,538
  6. Step 6: Final answer
    x = 24,441,084.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.