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Finding the Third Proportional to 48,474,824 and 72,540,486

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Solution

The third proportional to 48,474,824 and 72,540,486 is: 108,553,712.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,474,824 : 72,540,486 = 72,540,486 : x
  2. Step 2: Convert to fraction form
    48,474,824/72,540,486 = 72,540,486/x
  3. Step 3: Cross multiply
    48,474,824x = 72,540,486 × 72,540,486
  4. Step 4: Simplify right side
    48,474,824x = 5,262,122,109,116,196
  5. Step 5: Solve for x
    x = 5,262,122,109,116,196/48,474,824
  6. Step 6: Final answer
    x = 108,553,712.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.