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Finding the Third Proportional to 2,378,021,940 and 4,972,871,808

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Solution

The third proportional to 2,378,021,940 and 4,972,871,808 is: 10,399,169,832.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378,021,940 : 4,972,871,808 = 4,972,871,808 : x
  2. Step 2: Convert to fraction form
    2,378,021,940/4,972,871,808 = 4,972,871,808/x
  3. Step 3: Cross multiply
    2,378,021,940x = 4,972,871,808 × 4,972,871,808
  4. Step 4: Simplify right side
    2,378,021,940x = 24,729,454,018,801,188,864
  5. Step 5: Solve for x
    x = 24,729,454,018,801,188,864/2,378,021,940
  6. Step 6: Final answer
    x = 10,399,169,832.22

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.