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Finding the Third Proportional to 3,174,923,846 and 4,935,945,536

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Solution

The third proportional to 3,174,923,846 and 4,935,945,536 is: 7,673,745,738.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174,923,846 : 4,935,945,536 = 4,935,945,536 : x
  2. Step 2: Convert to fraction form
    3,174,923,846/4,935,945,536 = 4,935,945,536/x
  3. Step 3: Cross multiply
    3,174,923,846x = 4,935,945,536 × 4,935,945,536
  4. Step 4: Simplify right side
    3,174,923,846x = 24,363,558,334,358,327,296
  5. Step 5: Solve for x
    x = 24,363,558,334,358,327,296/3,174,923,846
  6. Step 6: Final answer
    x = 7,673,745,738.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.