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Finding the Third Proportional to 17,642,742 and 37,988,696

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Solution

The third proportional to 17,642,742 and 37,988,696 is: 81,798,000.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,642,742 : 37,988,696 = 37,988,696 : x
  2. Step 2: Convert to fraction form
    17,642,742/37,988,696 = 37,988,696/x
  3. Step 3: Cross multiply
    17,642,742x = 37,988,696 × 37,988,696
  4. Step 4: Simplify right side
    17,642,742x = 1,443,141,023,780,416
  5. Step 5: Solve for x
    x = 1,443,141,023,780,416/17,642,742
  6. Step 6: Final answer
    x = 81,798,000.77

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.