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Finding the Third Proportional to 13,944,642 and 30,204,822

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Solution

The third proportional to 13,944,642 and 30,204,822 is: 65,425,220.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,944,642 : 30,204,822 = 30,204,822 : x
  2. Step 2: Convert to fraction form
    13,944,642/30,204,822 = 30,204,822/x
  3. Step 3: Cross multiply
    13,944,642x = 30,204,822 × 30,204,822
  4. Step 4: Simplify right side
    13,944,642x = 912,331,272,051,684
  5. Step 5: Solve for x
    x = 912,331,272,051,684/13,944,642
  6. Step 6: Final answer
    x = 65,425,220.10

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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.