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Finding the Third Proportional to 2,231,357,028 and 4,864,483,884

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Solution

The third proportional to 2,231,357,028 and 4,864,483,884 is: 10,604,848,601.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231,357,028 : 4,864,483,884 = 4,864,483,884 : x
  2. Step 2: Convert to fraction form
    2,231,357,028/4,864,483,884 = 4,864,483,884/x
  3. Step 3: Cross multiply
    2,231,357,028x = 4,864,483,884 × 4,864,483,884
  4. Step 4: Simplify right side
    2,231,357,028x = 23,663,203,457,695,723,520
  5. Step 5: Solve for x
    x = 23,663,203,457,695,723,520/2,231,357,028
  6. Step 6: Final answer
    x = 10,604,848,601.44

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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.