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Finding the Third Proportional to 390,010,234,782 and 790,986,669,250

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Solution

The third proportional to 390,010,234,782 and 790,986,669,250 is: 1,604,214,082,435.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,010,234,782 : 790,986,669,250 = 790,986,669,250 : x
  2. Step 2: Convert to fraction form
    390,010,234,782/790,986,669,250 = 790,986,669,250/x
  3. Step 3: Cross multiply
    390,010,234,782x = 790,986,669,250 × 790,986,669,250
  4. Step 4: Simplify right side
    390,010,234,782x = 625,659,910,931,208,961,261,568
  5. Step 5: Solve for x
    x = 625,659,910,931,208,961,261,568/390,010,234,782
  6. Step 6: Final answer
    x = 1,604,214,082,435.37

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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.