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Finding the Third Proportional to 12,182,580 and 27,088,407

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Solution

The third proportional to 12,182,580 and 27,088,407 is: 60,232,052.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182,580 : 27,088,407 = 27,088,407 : x
  2. Step 2: Convert to fraction form
    12,182,580/27,088,407 = 27,088,407/x
  3. Step 3: Cross multiply
    12,182,580x = 27,088,407 × 27,088,407
  4. Step 4: Simplify right side
    12,182,580x = 733,781,793,797,649
  5. Step 5: Solve for x
    x = 733,781,793,797,649/12,182,580
  6. Step 6: Final answer
    x = 60,232,052.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.