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Finding the Third Proportional to 41,486,688 and 89,620,546

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Solution

The third proportional to 41,486,688 and 89,620,546 is: 193,600,469.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,486,688 : 89,620,546 = 89,620,546 : x
  2. Step 2: Convert to fraction form
    41,486,688/89,620,546 = 89,620,546/x
  3. Step 3: Cross multiply
    41,486,688x = 89,620,546 × 89,620,546
  4. Step 4: Simplify right side
    41,486,688x = 8,031,842,265,338,116
  5. Step 5: Solve for x
    x = 8,031,842,265,338,116/41,486,688
  6. Step 6: Final answer
    x = 193,600,469.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.