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Finding the Third Proportional to 10,146,821,584 and 22,289,026,976

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Solution

The third proportional to 10,146,821,584 and 22,289,026,976 is: 48,961,216,024.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146,821,584 : 22,289,026,976 = 22,289,026,976 : x
  2. Step 2: Convert to fraction form
    10,146,821,584/22,289,026,976 = 22,289,026,976/x
  3. Step 3: Cross multiply
    10,146,821,584x = 22,289,026,976 × 22,289,026,976
  4. Step 4: Simplify right side
    10,146,821,584x = 496,800,723,536,855,695,360
  5. Step 5: Solve for x
    x = 496,800,723,536,855,695,360/10,146,821,584
  6. Step 6: Final answer
    x = 48,961,216,024.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.