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Finding the Third Proportional to 8,599,416 and 12,431,076

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Solution

The third proportional to 8,599,416 and 12,431,076 is: 17,970,016.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,599,416 : 12,431,076 = 12,431,076 : x
  2. Step 2: Convert to fraction form
    8,599,416/12,431,076 = 12,431,076/x
  3. Step 3: Cross multiply
    8,599,416x = 12,431,076 × 12,431,076
  4. Step 4: Simplify right side
    8,599,416x = 154,531,650,517,776
  5. Step 5: Solve for x
    x = 154,531,650,517,776/8,599,416
  6. Step 6: Final answer
    x = 17,970,016.86

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.