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Finding the Third Proportional to 3,174,923,848 and 4,935,945,539

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Solution

The third proportional to 3,174,923,848 and 4,935,945,539 is: 7,673,745,743.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174,923,848 : 4,935,945,539 = 4,935,945,539 : x
  2. Step 2: Convert to fraction form
    3,174,923,848/4,935,945,539 = 4,935,945,539/x
  3. Step 3: Cross multiply
    3,174,923,848x = 4,935,945,539 × 4,935,945,539
  4. Step 4: Simplify right side
    3,174,923,848x = 24,363,558,363,974,000,640
  5. Step 5: Solve for x
    x = 24,363,558,363,974,000,640/3,174,923,848
  6. Step 6: Final answer
    x = 7,673,745,743.33

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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.