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Finding the Third Proportional to 42,723,096 and 66,195,642

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Solution

The third proportional to 42,723,096 and 66,195,642 is: 102,564,266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,723,096 : 66,195,642 = 66,195,642 : x
  2. Step 2: Convert to fraction form
    42,723,096/66,195,642 = 66,195,642/x
  3. Step 3: Cross multiply
    42,723,096x = 66,195,642 × 66,195,642
  4. Step 4: Simplify right side
    42,723,096x = 4,381,863,019,792,164
  5. Step 5: Solve for x
    x = 4,381,863,019,792,164/42,723,096
  6. Step 6: Final answer
    x = 102,564,266.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.