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Finding the Third Proportional to 29,824,716 and 65,231,672

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Solution

The third proportional to 29,824,716 and 65,231,672 is: 142,672,642.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,824,716 : 65,231,672 = 65,231,672 : x
  2. Step 2: Convert to fraction form
    29,824,716/65,231,672 = 65,231,672/x
  3. Step 3: Cross multiply
    29,824,716x = 65,231,672 × 65,231,672
  4. Step 4: Simplify right side
    29,824,716x = 4,255,171,031,915,584
  5. Step 5: Solve for x
    x = 4,255,171,031,915,584/29,824,716
  6. Step 6: Final answer
    x = 142,672,642.11

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.