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Finding the Third Proportional to 13,822,240 and 18,607,542

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Solution

The third proportional to 13,822,240 and 18,607,542 is: 25,049,530.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822,240 : 18,607,542 = 18,607,542 : x
  2. Step 2: Convert to fraction form
    13,822,240/18,607,542 = 18,607,542/x
  3. Step 3: Cross multiply
    13,822,240x = 18,607,542 × 18,607,542
  4. Step 4: Simplify right side
    13,822,240x = 346,240,619,281,764
  5. Step 5: Solve for x
    x = 346,240,619,281,764/13,822,240
  6. Step 6: Final answer
    x = 25,049,530.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.