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Finding the Third Proportional to 17,631,777 and 41,486,503.50

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Solution

The third proportional to 17,631,777 and 41,486,503.50 is: 97,615,230.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,631,777 : 41,486,503.50 = 41,486,503.50 : x
  2. Step 2: Convert to fraction form
    17,631,777/41,486,503.50 = 41,486,503.50/x
  3. Step 3: Cross multiply
    17,631,777x = 41,486,503.50 × 41,486,503.50
  4. Step 4: Simplify right side
    17,631,777x = 1,721,129,972,655,512.25
  5. Step 5: Solve for x
    x = 1,721,129,972,655,512.25/17,631,777
  6. Step 6: Final answer
    x = 97,615,230.31

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.