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Finding the Third Proportional to 3,174,923,850 and 4,935,945,542

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Solution

The third proportional to 3,174,923,850 and 4,935,945,542 is: 7,673,745,747.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174,923,850 : 4,935,945,542 = 4,935,945,542 : x
  2. Step 2: Convert to fraction form
    3,174,923,850/4,935,945,542 = 4,935,945,542/x
  3. Step 3: Cross multiply
    3,174,923,850x = 4,935,945,542 × 4,935,945,542
  4. Step 4: Simplify right side
    3,174,923,850x = 24,363,558,393,589,673,984
  5. Step 5: Solve for x
    x = 24,363,558,393,589,673,984/3,174,923,850
  6. Step 6: Final answer
    x = 7,673,745,747.82

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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.