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Finding the Third Proportional to 814,885,768.13 and 1,765,147,588.03

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Solution

The third proportional to 814,885,768.13 and 1,765,147,588.03 is: 3,823,537,150.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,885,768.13 : 1,765,147,588.03 = 1,765,147,588.03 : x
  2. Step 2: Convert to fraction form
    814,885,768.13/1,765,147,588.03 = 1,765,147,588.03/x
  3. Step 3: Cross multiply
    814,885,768.13x = 1,765,147,588.03 × 1,765,147,588.03
  4. Step 4: Simplify right side
    814,885,768.13x = 3,115,746,007,532,716,032
  5. Step 5: Solve for x
    x = 3,115,746,007,532,716,032/814,885,768.13
  6. Step 6: Final answer
    x = 3,823,537,150.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.