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Finding the Third Proportional to 12,954,711 and 27,703,194

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Solution

The third proportional to 12,954,711 and 27,703,194 is: 59,242,306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954,711 : 27,703,194 = 27,703,194 : x
  2. Step 2: Convert to fraction form
    12,954,711/27,703,194 = 27,703,194/x
  3. Step 3: Cross multiply
    12,954,711x = 27,703,194 × 27,703,194
  4. Step 4: Simplify right side
    12,954,711x = 767,466,957,801,636
  5. Step 5: Solve for x
    x = 767,466,957,801,636/12,954,711
  6. Step 6: Final answer
    x = 59,242,306.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.