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Finding the Third Proportional to 24,769,963.13 and 38,259,379.69

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Solution

The third proportional to 24,769,963.13 and 38,259,379.69 is: 59,094,966.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,769,963.13 : 38,259,379.69 = 38,259,379.69 : x
  2. Step 2: Convert to fraction form
    24,769,963.13/38,259,379.69 = 38,259,379.69/x
  3. Step 3: Cross multiply
    24,769,963.13x = 38,259,379.69 × 38,259,379.69
  4. Step 4: Simplify right side
    24,769,963.13x = 1,463,780,134,072,287.50
  5. Step 5: Solve for x
    x = 1,463,780,134,072,287.50/24,769,963.13
  6. Step 6: Final answer
    x = 59,094,966.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.