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Finding the Third Proportional to 3,534,478,538 and 5,271,067,221

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Solution

The third proportional to 3,534,478,538 and 5,271,067,221 is: 7,860,890,750.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534,478,538 : 5,271,067,221 = 5,271,067,221 : x
  2. Step 2: Convert to fraction form
    3,534,478,538/5,271,067,221 = 5,271,067,221/x
  3. Step 3: Cross multiply
    3,534,478,538x = 5,271,067,221 × 5,271,067,221
  4. Step 4: Simplify right side
    3,534,478,538x = 27,784,149,648,300,662,784
  5. Step 5: Solve for x
    x = 27,784,149,648,300,662,784/3,534,478,538
  6. Step 6: Final answer
    x = 7,860,890,750.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.