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Finding the Third Proportional to 4,959,511 and 7,660,241

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Solution

The third proportional to 4,959,511 and 7,660,241 is: 11,831,668.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959,511 : 7,660,241 = 7,660,241 : x
  2. Step 2: Convert to fraction form
    4,959,511/7,660,241 = 7,660,241/x
  3. Step 3: Cross multiply
    4,959,511x = 7,660,241 × 7,660,241
  4. Step 4: Simplify right side
    4,959,511x = 58,679,292,178,081
  5. Step 5: Solve for x
    x = 58,679,292,178,081/4,959,511
  6. Step 6: Final answer
    x = 11,831,668.92

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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.