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Finding the Third Proportional to 3,642,365,532 and 7,837,162,872

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Solution

The third proportional to 3,642,365,532 and 7,837,162,872 is: 16,862,975,816.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642,365,532 : 7,837,162,872 = 7,837,162,872 : x
  2. Step 2: Convert to fraction form
    3,642,365,532/7,837,162,872 = 7,837,162,872/x
  3. Step 3: Cross multiply
    3,642,365,532x = 7,837,162,872 × 7,837,162,872
  4. Step 4: Simplify right side
    3,642,365,532x = 61,421,121,882,255,286,272
  5. Step 5: Solve for x
    x = 61,421,121,882,255,286,272/3,642,365,532
  6. Step 6: Final answer
    x = 16,862,975,816.85

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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.