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Finding the Third Proportional to 897,170,265,193.50 and 1,930,412,967,894

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Solution

The third proportional to 897,170,265,193.50 and 1,930,412,967,894 is: 4,153,608,708,609.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,170,265,193.50 : 1,930,412,967,894 = 1,930,412,967,894 : x
  2. Step 2: Convert to fraction form
    897,170,265,193.50/1,930,412,967,894 = 1,930,412,967,894/x
  3. Step 3: Cross multiply
    897,170,265,193.50x = 1,930,412,967,894 × 1,930,412,967,894
  4. Step 4: Simplify right side
    897,170,265,193.50x = 3,726,494,226,613,321,481,584,640
  5. Step 5: Solve for x
    x = 3,726,494,226,613,321,481,584,640/897,170,265,193.50
  6. Step 6: Final answer
    x = 4,153,608,708,609.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.