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Finding the Third Proportional to 10,102,632 and 17,961,312

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Solution

The third proportional to 10,102,632 and 17,961,312 is: 31,933,136.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102,632 : 17,961,312 = 17,961,312 : x
  2. Step 2: Convert to fraction form
    10,102,632/17,961,312 = 17,961,312/x
  3. Step 3: Cross multiply
    10,102,632x = 17,961,312 × 17,961,312
  4. Step 4: Simplify right side
    10,102,632x = 322,608,728,761,344
  5. Step 5: Solve for x
    x = 322,608,728,761,344/10,102,632
  6. Step 6: Final answer
    x = 31,933,136.71

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.