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Finding the Third Proportional to 10,970,203,723 and 16,711,971,923

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Solution

The third proportional to 10,970,203,723 and 16,711,971,923 is: 25,458,962,532.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970,203,723 : 16,711,971,923 = 16,711,971,923 : x
  2. Step 2: Convert to fraction form
    10,970,203,723/16,711,971,923 = 16,711,971,923/x
  3. Step 3: Cross multiply
    10,970,203,723x = 16,711,971,923 × 16,711,971,923
  4. Step 4: Simplify right side
    10,970,203,723x = 279,290,005,555,140,329,472
  5. Step 5: Solve for x
    x = 279,290,005,555,140,329,472/10,970,203,723
  6. Step 6: Final answer
    x = 25,458,962,532.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.