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Finding the Third Proportional to 11,513,593 and 24,820,708

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Solution

The third proportional to 11,513,593 and 24,820,708 is: 53,507,844.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513,593 : 24,820,708 = 24,820,708 : x
  2. Step 2: Convert to fraction form
    11,513,593/24,820,708 = 24,820,708/x
  3. Step 3: Cross multiply
    11,513,593x = 24,820,708 × 24,820,708
  4. Step 4: Simplify right side
    11,513,593x = 616,067,545,621,264
  5. Step 5: Solve for x
    x = 616,067,545,621,264/11,513,593
  6. Step 6: Final answer
    x = 53,507,844.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.