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Finding the Third Proportional to 3,461,917 and 8,013,711

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Solution

The third proportional to 3,461,917 and 8,013,711 is: 18,550,289.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461,917 : 8,013,711 = 8,013,711 : x
  2. Step 2: Convert to fraction form
    3,461,917/8,013,711 = 8,013,711/x
  3. Step 3: Cross multiply
    3,461,917x = 8,013,711 × 8,013,711
  4. Step 4: Simplify right side
    3,461,917x = 64,219,563,991,521
  5. Step 5: Solve for x
    x = 64,219,563,991,521/3,461,917
  6. Step 6: Final answer
    x = 18,550,289.91

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.