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Finding the Third Proportional to 6,983,488.50 and 15,034,267.50

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Solution

The third proportional to 6,983,488.50 and 15,034,267.50 is: 32,366,230.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983,488.50 : 15,034,267.50 = 15,034,267.50 : x
  2. Step 2: Convert to fraction form
    6,983,488.50/15,034,267.50 = 15,034,267.50/x
  3. Step 3: Cross multiply
    6,983,488.50x = 15,034,267.50 × 15,034,267.50
  4. Step 4: Simplify right side
    6,983,488.50x = 226,029,199,261,556.25
  5. Step 5: Solve for x
    x = 226,029,199,261,556.25/6,983,488.50
  6. Step 6: Final answer
    x = 32,366,230.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.