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Finding the Third Proportional to 5,904,963 and 9,642,201

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Solution

The third proportional to 5,904,963 and 9,642,201 is: 15,744,728.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,904,963 : 9,642,201 = 9,642,201 : x
  2. Step 2: Convert to fraction form
    5,904,963/9,642,201 = 9,642,201/x
  3. Step 3: Cross multiply
    5,904,963x = 9,642,201 × 9,642,201
  4. Step 4: Simplify right side
    5,904,963x = 92,972,040,124,401
  5. Step 5: Solve for x
    x = 92,972,040,124,401/5,904,963
  6. Step 6: Final answer
    x = 15,744,728.65

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.