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Finding the Third Proportional to 4,542,414.75 and 6,982,006.50

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Solution

The third proportional to 4,542,414.75 and 6,982,006.50 is: 10,731,828.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542,414.75 : 6,982,006.50 = 6,982,006.50 : x
  2. Step 2: Convert to fraction form
    4,542,414.75/6,982,006.50 = 6,982,006.50/x
  3. Step 3: Cross multiply
    4,542,414.75x = 6,982,006.50 × 6,982,006.50
  4. Step 4: Simplify right side
    4,542,414.75x = 48,748,414,766,042.25
  5. Step 5: Solve for x
    x = 48,748,414,766,042.25/4,542,414.75
  6. Step 6: Final answer
    x = 10,731,828.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.