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Finding the Third Proportional to 10,969,897.50 and 23,625,567

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Solution

The third proportional to 10,969,897.50 and 23,625,567 is: 50,881,734.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969,897.50 : 23,625,567 = 23,625,567 : x
  2. Step 2: Convert to fraction form
    10,969,897.50/23,625,567 = 23,625,567/x
  3. Step 3: Cross multiply
    10,969,897.50x = 23,625,567 × 23,625,567
  4. Step 4: Simplify right side
    10,969,897.50x = 558,167,416,071,489
  5. Step 5: Solve for x
    x = 558,167,416,071,489/10,969,897.50
  6. Step 6: Final answer
    x = 50,881,734.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.