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Finding the Third Proportional to 8,384,330 and 17,964,948

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Solution

The third proportional to 8,384,330 and 17,964,948 is: 38,493,160.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384,330 : 17,964,948 = 17,964,948 : x
  2. Step 2: Convert to fraction form
    8,384,330/17,964,948 = 17,964,948/x
  3. Step 3: Cross multiply
    8,384,330x = 17,964,948 × 17,964,948
  4. Step 4: Simplify right side
    8,384,330x = 322,739,356,642,704
  5. Step 5: Solve for x
    x = 322,739,356,642,704/8,384,330
  6. Step 6: Final answer
    x = 38,493,160.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.