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Finding the Third Proportional to 4,959,411 and 7,660,107

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Solution

The third proportional to 4,959,411 and 7,660,107 is: 11,831,493.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959,411 : 7,660,107 = 7,660,107 : x
  2. Step 2: Convert to fraction form
    4,959,411/7,660,107 = 7,660,107/x
  3. Step 3: Cross multiply
    4,959,411x = 7,660,107 × 7,660,107
  4. Step 4: Simplify right side
    4,959,411x = 58,677,239,251,449
  5. Step 5: Solve for x
    x = 58,677,239,251,449/4,959,411
  6. Step 6: Final answer
    x = 11,831,493.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.