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Finding the Third Proportional to 6,380,451 and 9,807,214.22

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Solution

The third proportional to 6,380,451 and 9,807,214.22 is: 15,074,396.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380,451 : 9,807,214.22 = 9,807,214.22 : x
  2. Step 2: Convert to fraction form
    6,380,451/9,807,214.22 = 9,807,214.22/x
  3. Step 3: Cross multiply
    6,380,451x = 9,807,214.22 × 9,807,214.22
  4. Step 4: Simplify right side
    6,380,451x = 96,181,450,732,452.17
  5. Step 5: Solve for x
    x = 96,181,450,732,452.17/6,380,451
  6. Step 6: Final answer
    x = 15,074,396.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.