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Finding the Third Proportional to 9,857,355.75 and 14,703,952.78

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Solution

The third proportional to 9,857,355.75 and 14,703,952.78 is: 21,933,491.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857,355.75 : 14,703,952.78 = 14,703,952.78 : x
  2. Step 2: Convert to fraction form
    9,857,355.75/14,703,952.78 = 14,703,952.78/x
  3. Step 3: Cross multiply
    9,857,355.75x = 14,703,952.78 × 14,703,952.78
  4. Step 4: Simplify right side
    9,857,355.75x = 216,206,227,393,229.62
  5. Step 5: Solve for x
    x = 216,206,227,393,229.62/9,857,355.75
  6. Step 6: Final answer
    x = 21,933,491.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.