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Finding the Third Proportional to 15,231,764 and 32,971,432

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Solution

The third proportional to 15,231,764 and 32,971,432 is: 71,371,597.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,231,764 : 32,971,432 = 32,971,432 : x
  2. Step 2: Convert to fraction form
    15,231,764/32,971,432 = 32,971,432/x
  3. Step 3: Cross multiply
    15,231,764x = 32,971,432 × 32,971,432
  4. Step 4: Simplify right side
    15,231,764x = 1,087,115,328,130,624
  5. Step 5: Solve for x
    x = 1,087,115,328,130,624/15,231,764
  6. Step 6: Final answer
    x = 71,371,597.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.