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Finding the Third Proportional to 29,397,456.56 and 45,703,219.78

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Solution

The third proportional to 29,397,456.56 and 45,703,219.78 is: 71,053,231.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,397,456.56 : 45,703,219.78 = 45,703,219.78 : x
  2. Step 2: Convert to fraction form
    29,397,456.56/45,703,219.78 = 45,703,219.78/x
  3. Step 3: Cross multiply
    29,397,456.56x = 45,703,219.78 × 45,703,219.78
  4. Step 4: Simplify right side
    29,397,456.56x = 2,088,784,298,373,241.25
  5. Step 5: Solve for x
    x = 2,088,784,298,373,241.25/29,397,456.56
  6. Step 6: Final answer
    x = 71,053,231.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.