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Finding the Third Proportional to 55,758,552 and 120,782,451

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Solution

The third proportional to 55,758,552 and 120,782,451 is: 261,635,210.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,758,552 : 120,782,451 = 120,782,451 : x
  2. Step 2: Convert to fraction form
    55,758,552/120,782,451 = 120,782,451/x
  3. Step 3: Cross multiply
    55,758,552x = 120,782,451 × 120,782,451
  4. Step 4: Simplify right side
    55,758,552x = 14,588,400,469,567,400
  5. Step 5: Solve for x
    x = 14,588,400,469,567,400/55,758,552
  6. Step 6: Final answer
    x = 261,635,210.14

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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.