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Finding the Third Proportional to 54,428,694.50 and 84,275,643

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Solution

The third proportional to 54,428,694.50 and 84,275,643 is: 130,489,699.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,428,694.50 : 84,275,643 = 84,275,643 : x
  2. Step 2: Convert to fraction form
    54,428,694.50/84,275,643 = 84,275,643/x
  3. Step 3: Cross multiply
    54,428,694.50x = 84,275,643 × 84,275,643
  4. Step 4: Simplify right side
    54,428,694.50x = 7,102,384,003,063,449
  5. Step 5: Solve for x
    x = 7,102,384,003,063,449/54,428,694.50
  6. Step 6: Final answer
    x = 130,489,699.75

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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.