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Finding the Third Proportional to 41,507,361 and 90,833,799

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Solution

The third proportional to 41,507,361 and 90,833,799 is: 198,778,694.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,507,361 : 90,833,799 = 90,833,799 : x
  2. Step 2: Convert to fraction form
    41,507,361/90,833,799 = 90,833,799/x
  3. Step 3: Cross multiply
    41,507,361x = 90,833,799 × 90,833,799
  4. Step 4: Simplify right side
    41,507,361x = 8,250,779,040,772,401
  5. Step 5: Solve for x
    x = 8,250,779,040,772,401/41,507,361
  6. Step 6: Final answer
    x = 198,778,694.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.