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Finding the Third Proportional to 4,456,123.56 and 9,500,834.17

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Solution

The third proportional to 4,456,123.56 and 9,500,834.17 is: 20,256,585.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,456,123.56 : 9,500,834.17 = 9,500,834.17 : x
  2. Step 2: Convert to fraction form
    4,456,123.56/9,500,834.17 = 9,500,834.17/x
  3. Step 3: Cross multiply
    4,456,123.56x = 9,500,834.17 × 9,500,834.17
  4. Step 4: Simplify right side
    4,456,123.56x = 90,265,849,942,914.48
  5. Step 5: Solve for x
    x = 90,265,849,942,914.48/4,456,123.56
  6. Step 6: Final answer
    x = 20,256,585.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.