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Finding the Third Proportional to 38,489,470.50 and 83,754,631.50

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Solution

The third proportional to 38,489,470.50 and 83,754,631.50 is: 182,253,437.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,489,470.50 : 83,754,631.50 = 83,754,631.50 : x
  2. Step 2: Convert to fraction form
    38,489,470.50/83,754,631.50 = 83,754,631.50/x
  3. Step 3: Cross multiply
    38,489,470.50x = 83,754,631.50 × 83,754,631.50
  4. Step 4: Simplify right side
    38,489,470.50x = 7,014,838,297,700,792
  5. Step 5: Solve for x
    x = 7,014,838,297,700,792/38,489,470.50
  6. Step 6: Final answer
    x = 182,253,437.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.