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Finding the Third Proportional to 8,001,780 and 11,434,374

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Solution

The third proportional to 8,001,780 and 11,434,374 is: 16,339,478.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001,780 : 11,434,374 = 11,434,374 : x
  2. Step 2: Convert to fraction form
    8,001,780/11,434,374 = 11,434,374/x
  3. Step 3: Cross multiply
    8,001,780x = 11,434,374 × 11,434,374
  4. Step 4: Simplify right side
    8,001,780x = 130,744,908,771,876
  5. Step 5: Solve for x
    x = 130,744,908,771,876/8,001,780
  6. Step 6: Final answer
    x = 16,339,478.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.