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Finding the Third Proportional to 5,981,376 and 13,120,756.50

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Solution

The third proportional to 5,981,376 and 13,120,756.50 is: 28,781,713.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981,376 : 13,120,756.50 = 13,120,756.50 : x
  2. Step 2: Convert to fraction form
    5,981,376/13,120,756.50 = 13,120,756.50/x
  3. Step 3: Cross multiply
    5,981,376x = 13,120,756.50 × 13,120,756.50
  4. Step 4: Simplify right side
    5,981,376x = 172,154,251,132,292.25
  5. Step 5: Solve for x
    x = 172,154,251,132,292.25/5,981,376
  6. Step 6: Final answer
    x = 28,781,713.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.