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Finding the Third Proportional to 32,142,420 and 48,503,448

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Solution

The third proportional to 32,142,420 and 48,503,448 is: 73,192,512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,142,420 : 48,503,448 = 48,503,448 : x
  2. Step 2: Convert to fraction form
    32,142,420/48,503,448 = 48,503,448/x
  3. Step 3: Cross multiply
    32,142,420x = 48,503,448 × 48,503,448
  4. Step 4: Simplify right side
    32,142,420x = 2,352,584,467,888,704
  5. Step 5: Solve for x
    x = 2,352,584,467,888,704/32,142,420
  6. Step 6: Final answer
    x = 73,192,512.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.