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Finding the Third Proportional to 8,680,719.50 and 12,781,251.50

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Solution

The third proportional to 8,680,719.50 and 12,781,251.50 is: 18,818,761.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,680,719.50 : 12,781,251.50 = 12,781,251.50 : x
  2. Step 2: Convert to fraction form
    8,680,719.50/12,781,251.50 = 12,781,251.50/x
  3. Step 3: Cross multiply
    8,680,719.50x = 12,781,251.50 × 12,781,251.50
  4. Step 4: Simplify right side
    8,680,719.50x = 163,360,389,906,252.25
  5. Step 5: Solve for x
    x = 163,360,389,906,252.25/8,680,719.50
  6. Step 6: Final answer
    x = 18,818,761.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.