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Finding the Third Proportional to 54,188,483 and 82,553,117

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Solution

The third proportional to 54,188,483 and 82,553,117 is: 125,765,047.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,188,483 : 82,553,117 = 82,553,117 : x
  2. Step 2: Convert to fraction form
    54,188,483/82,553,117 = 82,553,117/x
  3. Step 3: Cross multiply
    54,188,483x = 82,553,117 × 82,553,117
  4. Step 4: Simplify right side
    54,188,483x = 6,815,017,126,415,689
  5. Step 5: Solve for x
    x = 6,815,017,126,415,689/54,188,483
  6. Step 6: Final answer
    x = 125,765,047.28

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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.