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Finding the Third Proportional to 22,856,462 and 48,812,722

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Solution

The third proportional to 22,856,462 and 48,812,722 is: 104,245,435.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,856,462 : 48,812,722 = 48,812,722 : x
  2. Step 2: Convert to fraction form
    22,856,462/48,812,722 = 48,812,722/x
  3. Step 3: Cross multiply
    22,856,462x = 48,812,722 × 48,812,722
  4. Step 4: Simplify right side
    22,856,462x = 2,382,681,829,049,284
  5. Step 5: Solve for x
    x = 2,382,681,829,049,284/22,856,462
  6. Step 6: Final answer
    x = 104,245,435.23

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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.