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Finding the Third Proportional to 8,160,864 and 12,592,416

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Solution

The third proportional to 8,160,864 and 12,592,416 is: 19,430,410.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,160,864 : 12,592,416 = 12,592,416 : x
  2. Step 2: Convert to fraction form
    8,160,864/12,592,416 = 12,592,416/x
  3. Step 3: Cross multiply
    8,160,864x = 12,592,416 × 12,592,416
  4. Step 4: Simplify right side
    8,160,864x = 158,568,940,717,056
  5. Step 5: Solve for x
    x = 158,568,940,717,056/8,160,864
  6. Step 6: Final answer
    x = 19,430,410.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.