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Finding the Third Proportional to 55,781,671 and 120,526,488

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Solution

The third proportional to 55,781,671 and 120,526,488 is: 260,419,489.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,781,671 : 120,526,488 = 120,526,488 : x
  2. Step 2: Convert to fraction form
    55,781,671/120,526,488 = 120,526,488/x
  3. Step 3: Cross multiply
    55,781,671x = 120,526,488 × 120,526,488
  4. Step 4: Simplify right side
    55,781,671x = 14,526,634,309,614,144
  5. Step 5: Solve for x
    x = 14,526,634,309,614,144/55,781,671
  6. Step 6: Final answer
    x = 260,419,489.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.