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Finding the Third Proportional to 527,017,974.75 and 1,144,760,181.75

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Solution

The third proportional to 527,017,974.75 and 1,144,760,181.75 is: 2,486,586,675.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,017,974.75 : 1,144,760,181.75 = 1,144,760,181.75 : x
  2. Step 2: Convert to fraction form
    527,017,974.75/1,144,760,181.75 = 1,144,760,181.75/x
  3. Step 3: Cross multiply
    527,017,974.75x = 1,144,760,181.75 × 1,144,760,181.75
  4. Step 4: Simplify right side
    527,017,974.75x = 1,310,475,873,720,293,120
  5. Step 5: Solve for x
    x = 1,310,475,873,720,293,120/527,017,974.75
  6. Step 6: Final answer
    x = 2,486,586,675.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.