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Finding the Third Proportional to 41,282,898 and 57,746,850

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Solution

The third proportional to 41,282,898 and 57,746,850 is: 80,776,758.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,282,898 : 57,746,850 = 57,746,850 : x
  2. Step 2: Convert to fraction form
    41,282,898/57,746,850 = 57,746,850/x
  3. Step 3: Cross multiply
    41,282,898x = 57,746,850 × 57,746,850
  4. Step 4: Simplify right side
    41,282,898x = 3,334,698,684,922,500
  5. Step 5: Solve for x
    x = 3,334,698,684,922,500/41,282,898
  6. Step 6: Final answer
    x = 80,776,758.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.