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Finding the Third Proportional to 6,489,432 and 15,022,564

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Solution

The third proportional to 6,489,432 and 15,022,564 is: 34,776,145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489,432 : 15,022,564 = 15,022,564 : x
  2. Step 2: Convert to fraction form
    6,489,432/15,022,564 = 15,022,564/x
  3. Step 3: Cross multiply
    6,489,432x = 15,022,564 × 15,022,564
  4. Step 4: Simplify right side
    6,489,432x = 225,677,429,134,096
  5. Step 5: Solve for x
    x = 225,677,429,134,096/6,489,432
  6. Step 6: Final answer
    x = 34,776,145.14

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.