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Finding the Third Proportional to 390,010,234,777 and 790,986,669,241

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Solution

The third proportional to 390,010,234,777 and 790,986,669,241 is: 1,604,214,082,419.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,010,234,777 : 790,986,669,241 = 790,986,669,241 : x
  2. Step 2: Convert to fraction form
    390,010,234,777/790,986,669,241 = 790,986,669,241/x
  3. Step 3: Cross multiply
    390,010,234,777x = 790,986,669,241 × 790,986,669,241
  4. Step 4: Simplify right side
    390,010,234,777x = 625,659,910,916,971,144,675,328
  5. Step 5: Solve for x
    x = 625,659,910,916,971,144,675,328/390,010,234,777
  6. Step 6: Final answer
    x = 1,604,214,082,419.43

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.