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Finding the Third Proportional to 18,696,718 and 27,970,353

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Solution

The third proportional to 18,696,718 and 27,970,353 is: 41,843,742.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,696,718 : 27,970,353 = 27,970,353 : x
  2. Step 2: Convert to fraction form
    18,696,718/27,970,353 = 27,970,353/x
  3. Step 3: Cross multiply
    18,696,718x = 27,970,353 × 27,970,353
  4. Step 4: Simplify right side
    18,696,718x = 782,340,646,944,609
  5. Step 5: Solve for x
    x = 782,340,646,944,609/18,696,718
  6. Step 6: Final answer
    x = 41,843,742.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.