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Finding the Third Proportional to 54,715,176 and 85,385,340

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Solution

The third proportional to 54,715,176 and 85,385,340 is: 133,247,424.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,715,176 : 85,385,340 = 85,385,340 : x
  2. Step 2: Convert to fraction form
    54,715,176/85,385,340 = 85,385,340/x
  3. Step 3: Cross multiply
    54,715,176x = 85,385,340 × 85,385,340
  4. Step 4: Simplify right side
    54,715,176x = 7,290,656,286,915,600
  5. Step 5: Solve for x
    x = 7,290,656,286,915,600/54,715,176
  6. Step 6: Final answer
    x = 133,247,424.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.