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Finding the Third Proportional to 10,598,736.50 and 22,958,175

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Solution

The third proportional to 10,598,736.50 and 22,958,175 is: 49,730,248.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598,736.50 : 22,958,175 = 22,958,175 : x
  2. Step 2: Convert to fraction form
    10,598,736.50/22,958,175 = 22,958,175/x
  3. Step 3: Cross multiply
    10,598,736.50x = 22,958,175 × 22,958,175
  4. Step 4: Simplify right side
    10,598,736.50x = 527,077,799,330,625
  5. Step 5: Solve for x
    x = 527,077,799,330,625/10,598,736.50
  6. Step 6: Final answer
    x = 49,730,248.44

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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.