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Finding the Third Proportional to 54,862,407 and 75,231,301.50

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Solution

The third proportional to 54,862,407 and 75,231,301.50 is: 103,162,603.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,862,407 : 75,231,301.50 = 75,231,301.50 : x
  2. Step 2: Convert to fraction form
    54,862,407/75,231,301.50 = 75,231,301.50/x
  3. Step 3: Cross multiply
    54,862,407x = 75,231,301.50 × 75,231,301.50
  4. Step 4: Simplify right side
    54,862,407x = 5,659,748,725,383,902
  5. Step 5: Solve for x
    x = 5,659,748,725,383,902/54,862,407
  6. Step 6: Final answer
    x = 103,162,603.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.