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Finding the Third Proportional to 37,746,765 and 82,558,593

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Solution

The third proportional to 37,746,765 and 82,558,593 is: 180,569,680.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,746,765 : 82,558,593 = 82,558,593 : x
  2. Step 2: Convert to fraction form
    37,746,765/82,558,593 = 82,558,593/x
  3. Step 3: Cross multiply
    37,746,765x = 82,558,593 × 82,558,593
  4. Step 4: Simplify right side
    37,746,765x = 6,815,921,278,139,649
  5. Step 5: Solve for x
    x = 6,815,921,278,139,649/37,746,765
  6. Step 6: Final answer
    x = 180,569,680.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.