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Finding the Third Proportional to 22,143,542 and 48,316,448

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Solution

The third proportional to 22,143,542 and 48,316,448 is: 105,424,829.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,143,542 : 48,316,448 = 48,316,448 : x
  2. Step 2: Convert to fraction form
    22,143,542/48,316,448 = 48,316,448/x
  3. Step 3: Cross multiply
    22,143,542x = 48,316,448 × 48,316,448
  4. Step 4: Simplify right side
    22,143,542x = 2,334,479,147,336,704
  5. Step 5: Solve for x
    x = 2,334,479,147,336,704/22,143,542
  6. Step 6: Final answer
    x = 105,424,829.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.