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Finding the Third Proportional to 4,686,322.50 and 9,745,839

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Solution

The third proportional to 4,686,322.50 and 9,745,839 is: 20,267,785.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686,322.50 : 9,745,839 = 9,745,839 : x
  2. Step 2: Convert to fraction form
    4,686,322.50/9,745,839 = 9,745,839/x
  3. Step 3: Cross multiply
    4,686,322.50x = 9,745,839 × 9,745,839
  4. Step 4: Simplify right side
    4,686,322.50x = 94,981,377,813,921
  5. Step 5: Solve for x
    x = 94,981,377,813,921/4,686,322.50
  6. Step 6: Final answer
    x = 20,267,785.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.