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Finding the Third Proportional to 7,834,073 and 17,181,507

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Solution

The third proportional to 7,834,073 and 17,181,507 is: 37,682,082.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834,073 : 17,181,507 = 17,181,507 : x
  2. Step 2: Convert to fraction form
    7,834,073/17,181,507 = 17,181,507/x
  3. Step 3: Cross multiply
    7,834,073x = 17,181,507 × 17,181,507
  4. Step 4: Simplify right side
    7,834,073x = 295,204,182,791,049
  5. Step 5: Solve for x
    x = 295,204,182,791,049/7,834,073
  6. Step 6: Final answer
    x = 37,682,082.21

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.