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Finding the Third Proportional to 2,952,292.50 and 6,357,375

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Solution

The third proportional to 2,952,292.50 and 6,357,375 is: 13,689,773.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952,292.50 : 6,357,375 = 6,357,375 : x
  2. Step 2: Convert to fraction form
    2,952,292.50/6,357,375 = 6,357,375/x
  3. Step 3: Cross multiply
    2,952,292.50x = 6,357,375 × 6,357,375
  4. Step 4: Simplify right side
    2,952,292.50x = 40,416,216,890,625
  5. Step 5: Solve for x
    x = 40,416,216,890,625/2,952,292.50
  6. Step 6: Final answer
    x = 13,689,773.93

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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.