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Finding the Third Proportional to 4,724,446.50 and 9,747,003.38

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Solution

The third proportional to 4,724,446.50 and 9,747,003.38 is: 20,109,038.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,724,446.50 : 9,747,003.38 = 9,747,003.38 : x
  2. Step 2: Convert to fraction form
    4,724,446.50/9,747,003.38 = 9,747,003.38/x
  3. Step 3: Cross multiply
    4,724,446.50x = 9,747,003.38 × 9,747,003.38
  4. Step 4: Simplify right side
    4,724,446.50x = 95,004,074,792,261.39
  5. Step 5: Solve for x
    x = 95,004,074,792,261.39/4,724,446.50
  6. Step 6: Final answer
    x = 20,109,038.13

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.