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Finding the Third Proportional to 17,489,378,350.50 and 37,765,610,337

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Solution

The third proportional to 17,489,378,350.50 and 37,765,610,337 is: 81,549,000,515.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,489,378,350.50 : 37,765,610,337 = 37,765,610,337 : x
  2. Step 2: Convert to fraction form
    17,489,378,350.50/37,765,610,337 = 37,765,610,337/x
  3. Step 3: Cross multiply
    17,489,378,350.50x = 37,765,610,337 × 37,765,610,337
  4. Step 4: Simplify right side
    17,489,378,350.50x = 1,426,241,324,126,121,230,336
  5. Step 5: Solve for x
    x = 1,426,241,324,126,121,230,336/17,489,378,350.50
  6. Step 6: Final answer
    x = 81,549,000,515.81

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Why These Related Problems?

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