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Finding the Third Proportional to 13,789,890 and 22,219,186.50

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Solution

The third proportional to 13,789,890 and 22,219,186.50 is: 35,801,028.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,789,890 : 22,219,186.50 = 22,219,186.50 : x
  2. Step 2: Convert to fraction form
    13,789,890/22,219,186.50 = 22,219,186.50/x
  3. Step 3: Cross multiply
    13,789,890x = 22,219,186.50 × 22,219,186.50
  4. Step 4: Simplify right side
    13,789,890x = 493,692,248,721,782.25
  5. Step 5: Solve for x
    x = 493,692,248,721,782.25/13,789,890
  6. Step 6: Final answer
    x = 35,801,028.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.