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Finding the Third Proportional to 75,471,748 and 161,706,812

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Solution

The third proportional to 75,471,748 and 161,706,812 is: 346,475,253.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,471,748 : 161,706,812 = 161,706,812 : x
  2. Step 2: Convert to fraction form
    75,471,748/161,706,812 = 161,706,812/x
  3. Step 3: Cross multiply
    75,471,748x = 161,706,812 × 161,706,812
  4. Step 4: Simplify right side
    75,471,748x = 26,149,093,047,203,344
  5. Step 5: Solve for x
    x = 26,149,093,047,203,344/75,471,748
  6. Step 6: Final answer
    x = 346,475,253.86

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