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Finding the Third Proportional to 6,414,865.88 and 13,959,023.63

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Solution

The third proportional to 6,414,865.88 and 13,959,023.63 is: 30,375,434.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414,865.88 : 13,959,023.63 = 13,959,023.63 : x
  2. Step 2: Convert to fraction form
    6,414,865.88/13,959,023.63 = 13,959,023.63/x
  3. Step 3: Cross multiply
    6,414,865.88x = 13,959,023.63 × 13,959,023.63
  4. Step 4: Simplify right side
    6,414,865.88x = 194,854,340,563,308.12
  5. Step 5: Solve for x
    x = 194,854,340,563,308.12/6,414,865.88
  6. Step 6: Final answer
    x = 30,375,434.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.