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Finding the Third Proportional to 3,807,864 and 8,008,416

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Solution

The third proportional to 3,807,864 and 8,008,416 is: 16,842,704.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807,864 : 8,008,416 = 8,008,416 : x
  2. Step 2: Convert to fraction form
    3,807,864/8,008,416 = 8,008,416/x
  3. Step 3: Cross multiply
    3,807,864x = 8,008,416 × 8,008,416
  4. Step 4: Simplify right side
    3,807,864x = 64,134,726,829,056
  5. Step 5: Solve for x
    x = 64,134,726,829,056/3,807,864
  6. Step 6: Final answer
    x = 16,842,704.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.