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Finding the Third Proportional to 56,781,834 and 123,528,188

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Solution

The third proportional to 56,781,834 and 123,528,188 is: 268,734,067.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,781,834 : 123,528,188 = 123,528,188 : x
  2. Step 2: Convert to fraction form
    56,781,834/123,528,188 = 123,528,188/x
  3. Step 3: Cross multiply
    56,781,834x = 123,528,188 × 123,528,188
  4. Step 4: Simplify right side
    56,781,834x = 15,259,213,230,563,344
  5. Step 5: Solve for x
    x = 15,259,213,230,563,344/56,781,834
  6. Step 6: Final answer
    x = 268,734,067.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.