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Finding the Third Proportional to 36,162,922.50 and 54,580,678.50

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Solution

The third proportional to 36,162,922.50 and 54,580,678.50 is: 82,378,587.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,162,922.50 : 54,580,678.50 = 54,580,678.50 : x
  2. Step 2: Convert to fraction form
    36,162,922.50/54,580,678.50 = 54,580,678.50/x
  3. Step 3: Cross multiply
    36,162,922.50x = 54,580,678.50 × 54,580,678.50
  4. Step 4: Simplify right side
    36,162,922.50x = 2,979,050,465,520,362
  5. Step 5: Solve for x
    x = 2,979,050,465,520,362/36,162,922.50
  6. Step 6: Final answer
    x = 82,378,587.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.