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Finding the Third Proportional to 2,738,695.50 and 5,910,417

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Solution

The third proportional to 2,738,695.50 and 5,910,417 is: 12,755,353.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738,695.50 : 5,910,417 = 5,910,417 : x
  2. Step 2: Convert to fraction form
    2,738,695.50/5,910,417 = 5,910,417/x
  3. Step 3: Cross multiply
    2,738,695.50x = 5,910,417 × 5,910,417
  4. Step 4: Simplify right side
    2,738,695.50x = 34,933,029,113,889
  5. Step 5: Solve for x
    x = 34,933,029,113,889/2,738,695.50
  6. Step 6: Final answer
    x = 12,755,353.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.