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Finding the Third Proportional to 55,781,673 and 120,526,492

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Solution

The third proportional to 55,781,673 and 120,526,492 is: 260,419,497.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,781,673 : 120,526,492 = 120,526,492 : x
  2. Step 2: Convert to fraction form
    55,781,673/120,526,492 = 120,526,492/x
  3. Step 3: Cross multiply
    55,781,673x = 120,526,492 × 120,526,492
  4. Step 4: Simplify right side
    55,781,673x = 14,526,635,273,826,064
  5. Step 5: Solve for x
    x = 14,526,635,273,826,064/55,781,673
  6. Step 6: Final answer
    x = 260,419,497.88

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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.