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Finding the Third Proportional to 6,425,215.50 and 13,970,157

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Solution

The third proportional to 6,425,215.50 and 13,970,157 is: 30,374,901.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425,215.50 : 13,970,157 = 13,970,157 : x
  2. Step 2: Convert to fraction form
    6,425,215.50/13,970,157 = 13,970,157/x
  3. Step 3: Cross multiply
    6,425,215.50x = 13,970,157 × 13,970,157
  4. Step 4: Simplify right side
    6,425,215.50x = 195,165,286,604,649
  5. Step 5: Solve for x
    x = 195,165,286,604,649/6,425,215.50
  6. Step 6: Final answer
    x = 30,374,901.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.