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Finding the Third Proportional to 71,969,604 and 156,717,768

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Solution

The third proportional to 71,969,604 and 156,717,768 is: 341,261,552.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,969,604 : 156,717,768 = 156,717,768 : x
  2. Step 2: Convert to fraction form
    71,969,604/156,717,768 = 156,717,768/x
  3. Step 3: Cross multiply
    71,969,604x = 156,717,768 × 156,717,768
  4. Step 4: Simplify right side
    71,969,604x = 24,560,458,806,901,824
  5. Step 5: Solve for x
    x = 24,560,458,806,901,824/71,969,604
  6. Step 6: Final answer
    x = 341,261,552.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.