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Finding the Third Proportional to 8,078,215.50 and 17,291,200.50

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Solution

The third proportional to 8,078,215.50 and 17,291,200.50 is: 37,011,344.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078,215.50 : 17,291,200.50 = 17,291,200.50 : x
  2. Step 2: Convert to fraction form
    8,078,215.50/17,291,200.50 = 17,291,200.50/x
  3. Step 3: Cross multiply
    8,078,215.50x = 17,291,200.50 × 17,291,200.50
  4. Step 4: Simplify right side
    8,078,215.50x = 298,985,614,731,200.25
  5. Step 5: Solve for x
    x = 298,985,614,731,200.25/8,078,215.50
  6. Step 6: Final answer
    x = 37,011,344.24

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.