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Finding the Third Proportional to 12,259,507.50 and 26,013,375

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Solution

The third proportional to 12,259,507.50 and 26,013,375 is: 55,197,623.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,259,507.50 : 26,013,375 = 26,013,375 : x
  2. Step 2: Convert to fraction form
    12,259,507.50/26,013,375 = 26,013,375/x
  3. Step 3: Cross multiply
    12,259,507.50x = 26,013,375 × 26,013,375
  4. Step 4: Simplify right side
    12,259,507.50x = 676,695,678,890,625
  5. Step 5: Solve for x
    x = 676,695,678,890,625/12,259,507.50
  6. Step 6: Final answer
    x = 55,197,623.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.