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Finding the Third Proportional to 5,160,454.31 and 8,198,334

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Solution

The third proportional to 5,160,454.31 and 8,198,334 is: 13,024,566.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,160,454.31 : 8,198,334 = 8,198,334 : x
  2. Step 2: Convert to fraction form
    5,160,454.31/8,198,334 = 8,198,334/x
  3. Step 3: Cross multiply
    5,160,454.31x = 8,198,334 × 8,198,334
  4. Step 4: Simplify right side
    5,160,454.31x = 67,212,680,375,556
  5. Step 5: Solve for x
    x = 67,212,680,375,556/5,160,454.31
  6. Step 6: Final answer
    x = 13,024,566.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.