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Finding the Third Proportional to 3,695,785,188 and 7,697,286,728

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Solution

The third proportional to 3,695,785,188 and 7,697,286,728 is: 16,031,295,099.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695,785,188 : 7,697,286,728 = 7,697,286,728 : x
  2. Step 2: Convert to fraction form
    3,695,785,188/7,697,286,728 = 7,697,286,728/x
  3. Step 3: Cross multiply
    3,695,785,188x = 7,697,286,728 × 7,697,286,728
  4. Step 4: Simplify right side
    3,695,785,188x = 59,248,222,973,044,948,992
  5. Step 5: Solve for x
    x = 59,248,222,973,044,948,992/3,695,785,188
  6. Step 6: Final answer
    x = 16,031,295,099.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.