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Finding the Third Proportional to 22,771,664 and 49,586,543

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Solution

The third proportional to 22,771,664 and 49,586,543 is: 107,977,407.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,771,664 : 49,586,543 = 49,586,543 : x
  2. Step 2: Convert to fraction form
    22,771,664/49,586,543 = 49,586,543/x
  3. Step 3: Cross multiply
    22,771,664x = 49,586,543 × 49,586,543
  4. Step 4: Simplify right side
    22,771,664x = 2,458,825,246,690,849
  5. Step 5: Solve for x
    x = 2,458,825,246,690,849/22,771,664
  6. Step 6: Final answer
    x = 107,977,407.65

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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.