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Finding the Third Proportional to 75,624,486 and 165,490,716

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Solution

The third proportional to 75,624,486 and 165,490,716 is: 362,146,951.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,624,486 : 165,490,716 = 165,490,716 : x
  2. Step 2: Convert to fraction form
    75,624,486/165,490,716 = 165,490,716/x
  3. Step 3: Cross multiply
    75,624,486x = 165,490,716 × 165,490,716
  4. Step 4: Simplify right side
    75,624,486x = 27,387,177,082,192,656
  5. Step 5: Solve for x
    x = 27,387,177,082,192,656/75,624,486
  6. Step 6: Final answer
    x = 362,146,951.75

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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.