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Finding the Third Proportional to 54,711,024 and 83,195,090

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Solution

The third proportional to 54,711,024 and 83,195,090 is: 126,508,745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,711,024 : 83,195,090 = 83,195,090 : x
  2. Step 2: Convert to fraction form
    54,711,024/83,195,090 = 83,195,090/x
  3. Step 3: Cross multiply
    54,711,024x = 83,195,090 × 83,195,090
  4. Step 4: Simplify right side
    54,711,024x = 6,921,423,000,108,100
  5. Step 5: Solve for x
    x = 6,921,423,000,108,100/54,711,024
  6. Step 6: Final answer
    x = 126,508,745.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.