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Finding the Third Proportional to 2,231,357,050 and 4,864,483,928

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Solution

The third proportional to 2,231,357,050 and 4,864,483,928 is: 10,604,848,688.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231,357,050 : 4,864,483,928 = 4,864,483,928 : x
  2. Step 2: Convert to fraction form
    2,231,357,050/4,864,483,928 = 4,864,483,928/x
  3. Step 3: Cross multiply
    2,231,357,050x = 4,864,483,928 × 4,864,483,928
  4. Step 4: Simplify right side
    2,231,357,050x = 23,663,203,885,770,309,632
  5. Step 5: Solve for x
    x = 23,663,203,885,770,309,632/2,231,357,050
  6. Step 6: Final answer
    x = 10,604,848,688.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.