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Finding the Third Proportional to 3,496,903,612 and 7,134,277,532

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Solution

The third proportional to 3,496,903,612 and 7,134,277,532 is: 14,555,138,359.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496,903,612 : 7,134,277,532 = 7,134,277,532 : x
  2. Step 2: Convert to fraction form
    3,496,903,612/7,134,277,532 = 7,134,277,532/x
  3. Step 3: Cross multiply
    3,496,903,612x = 7,134,277,532 × 7,134,277,532
  4. Step 4: Simplify right side
    3,496,903,612x = 50,897,915,903,600,009,216
  5. Step 5: Solve for x
    x = 50,897,915,903,600,009,216/3,496,903,612
  6. Step 6: Final answer
    x = 14,555,138,359.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.