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Finding the Third Proportional to 55,781,800 and 120,526,776

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Solution

The third proportional to 55,781,800 and 120,526,776 is: 260,420,132.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,781,800 : 120,526,776 = 120,526,776 : x
  2. Step 2: Convert to fraction form
    55,781,800/120,526,776 = 120,526,776/x
  3. Step 3: Cross multiply
    55,781,800x = 120,526,776 × 120,526,776
  4. Step 4: Simplify right side
    55,781,800x = 14,526,703,732,954,176
  5. Step 5: Solve for x
    x = 14,526,703,732,954,176/55,781,800
  6. Step 6: Final answer
    x = 260,420,132.25

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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.