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Finding the Third Proportional to 17,970,660 and 38,768,295

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Solution

The third proportional to 17,970,660 and 38,768,295 is: 83,635,253.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,970,660 : 38,768,295 = 38,768,295 : x
  2. Step 2: Convert to fraction form
    17,970,660/38,768,295 = 38,768,295/x
  3. Step 3: Cross multiply
    17,970,660x = 38,768,295 × 38,768,295
  4. Step 4: Simplify right side
    17,970,660x = 1,502,980,697,207,025
  5. Step 5: Solve for x
    x = 1,502,980,697,207,025/17,970,660
  6. Step 6: Final answer
    x = 83,635,253.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.