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Finding the Third Proportional to 6,098,310 and 8,361,937.50

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Solution

The third proportional to 6,098,310 and 8,361,937.50 is: 11,465,799.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098,310 : 8,361,937.50 = 8,361,937.50 : x
  2. Step 2: Convert to fraction form
    6,098,310/8,361,937.50 = 8,361,937.50/x
  3. Step 3: Cross multiply
    6,098,310x = 8,361,937.50 × 8,361,937.50
  4. Step 4: Simplify right side
    6,098,310x = 69,921,998,753,906.25
  5. Step 5: Solve for x
    x = 69,921,998,753,906.25/6,098,310
  6. Step 6: Final answer
    x = 11,465,799.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.