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Finding the Third Proportional to 3,380,463 and 7,971,934.50

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Solution

The third proportional to 3,380,463 and 7,971,934.50 is: 18,799,714.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380,463 : 7,971,934.50 = 7,971,934.50 : x
  2. Step 2: Convert to fraction form
    3,380,463/7,971,934.50 = 7,971,934.50/x
  3. Step 3: Cross multiply
    3,380,463x = 7,971,934.50 × 7,971,934.50
  4. Step 4: Simplify right side
    3,380,463x = 63,551,739,672,290.25
  5. Step 5: Solve for x
    x = 63,551,739,672,290.25/3,380,463
  6. Step 6: Final answer
    x = 18,799,714.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.