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Finding the Third Proportional to 6,156,640.13 and 14,250,985.88

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Solution

The third proportional to 6,156,640.13 and 14,250,985.88 is: 32,987,245.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156,640.13 : 14,250,985.88 = 14,250,985.88 : x
  2. Step 2: Convert to fraction form
    6,156,640.13/14,250,985.88 = 14,250,985.88/x
  3. Step 3: Cross multiply
    6,156,640.13x = 14,250,985.88 × 14,250,985.88
  4. Step 4: Simplify right side
    6,156,640.13x = 203,090,598,409,449.50
  5. Step 5: Solve for x
    x = 203,090,598,409,449.50/6,156,640.13
  6. Step 6: Final answer
    x = 32,987,245.36

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.