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Finding the Third Proportional to 42,723,124 and 66,195,682

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Solution

The third proportional to 42,723,124 and 66,195,682 is: 102,564,323.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,723,124 : 66,195,682 = 66,195,682 : x
  2. Step 2: Convert to fraction form
    42,723,124/66,195,682 = 66,195,682/x
  3. Step 3: Cross multiply
    42,723,124x = 66,195,682 × 66,195,682
  4. Step 4: Simplify right side
    42,723,124x = 4,381,868,315,445,124
  5. Step 5: Solve for x
    x = 4,381,868,315,445,124/42,723,124
  6. Step 6: Final answer
    x = 102,564,323.61

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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.