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Finding the Third Proportional to 54,715,180 and 85,385,346

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Solution

The third proportional to 54,715,180 and 85,385,346 is: 133,247,433.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,715,180 : 85,385,346 = 85,385,346 : x
  2. Step 2: Convert to fraction form
    54,715,180/85,385,346 = 85,385,346/x
  3. Step 3: Cross multiply
    54,715,180x = 85,385,346 × 85,385,346
  4. Step 4: Simplify right side
    54,715,180x = 7,290,657,311,539,716
  5. Step 5: Solve for x
    x = 7,290,657,311,539,716/54,715,180
  6. Step 6: Final answer
    x = 133,247,433.56

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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.