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Finding the Third Proportional to 4,789,914.75 and 10,377,082.13

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Solution

The third proportional to 4,789,914.75 and 10,377,082.13 is: 22,481,367.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,789,914.75 : 10,377,082.13 = 10,377,082.13 : x
  2. Step 2: Convert to fraction form
    4,789,914.75/10,377,082.13 = 10,377,082.13/x
  3. Step 3: Cross multiply
    4,789,914.75x = 10,377,082.13 × 10,377,082.13
  4. Step 4: Simplify right side
    4,789,914.75x = 107,683,833,428,994.52
  5. Step 5: Solve for x
    x = 107,683,833,428,994.52/4,789,914.75
  6. Step 6: Final answer
    x = 22,481,367.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.