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Finding the Third Proportional to 2,206,102,378 and 4,726,933,772

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Solution

The third proportional to 2,206,102,378 and 4,726,933,772 is: 10,128,225,737.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206,102,378 : 4,726,933,772 = 4,726,933,772 : x
  2. Step 2: Convert to fraction form
    2,206,102,378/4,726,933,772 = 4,726,933,772/x
  3. Step 3: Cross multiply
    2,206,102,378x = 4,726,933,772 × 4,726,933,772
  4. Step 4: Simplify right side
    2,206,102,378x = 22,343,902,884,874,149,888
  5. Step 5: Solve for x
    x = 22,343,902,884,874,149,888/2,206,102,378
  6. Step 6: Final answer
    x = 10,128,225,737.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.