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Finding the Third Proportional to 3,461,919 and 8,013,716

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Solution

The third proportional to 3,461,919 and 8,013,716 is: 18,550,302.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461,919 : 8,013,716 = 8,013,716 : x
  2. Step 2: Convert to fraction form
    3,461,919/8,013,716 = 8,013,716/x
  3. Step 3: Cross multiply
    3,461,919x = 8,013,716 × 8,013,716
  4. Step 4: Simplify right side
    3,461,919x = 64,219,644,128,656
  5. Step 5: Solve for x
    x = 64,219,644,128,656/3,461,919
  6. Step 6: Final answer
    x = 18,550,302.34

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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.