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Finding the Third Proportional to 2,372,446.13 and 4,913,115.75

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Solution

The third proportional to 2,372,446.13 and 4,913,115.75 is: 10,174,606.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372,446.13 : 4,913,115.75 = 4,913,115.75 : x
  2. Step 2: Convert to fraction form
    2,372,446.13/4,913,115.75 = 4,913,115.75/x
  3. Step 3: Cross multiply
    2,372,446.13x = 4,913,115.75 × 4,913,115.75
  4. Step 4: Simplify right side
    2,372,446.13x = 24,138,706,372,898.06
  5. Step 5: Solve for x
    x = 24,138,706,372,898.06/2,372,446.13
  6. Step 6: Final answer
    x = 10,174,606.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.