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Finding the Third Proportional to 5,177,959.50 and 7,766,940

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Solution

The third proportional to 5,177,959.50 and 7,766,940 is: 11,650,411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177,959.50 : 7,766,940 = 7,766,940 : x
  2. Step 2: Convert to fraction form
    5,177,959.50/7,766,940 = 7,766,940/x
  3. Step 3: Cross multiply
    5,177,959.50x = 7,766,940 × 7,766,940
  4. Step 4: Simplify right side
    5,177,959.50x = 60,325,356,963,600
  5. Step 5: Solve for x
    x = 60,325,356,963,600/5,177,959.50
  6. Step 6: Final answer
    x = 11,650,411.13

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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.