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Finding the Third Proportional to 10,181,170 and 14,241,451

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Solution

The third proportional to 10,181,170 and 14,241,451 is: 19,920,984.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181,170 : 14,241,451 = 14,241,451 : x
  2. Step 2: Convert to fraction form
    10,181,170/14,241,451 = 14,241,451/x
  3. Step 3: Cross multiply
    10,181,170x = 14,241,451 × 14,241,451
  4. Step 4: Simplify right side
    10,181,170x = 202,818,926,585,401
  5. Step 5: Solve for x
    x = 202,818,926,585,401/10,181,170
  6. Step 6: Final answer
    x = 19,920,984.19

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.