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Finding the Third Proportional to 22,771,640 and 49,586,497

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Solution

The third proportional to 22,771,640 and 49,586,497 is: 107,977,321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,771,640 : 49,586,497 = 49,586,497 : x
  2. Step 2: Convert to fraction form
    22,771,640/49,586,497 = 49,586,497/x
  3. Step 3: Cross multiply
    22,771,640x = 49,586,497 × 49,586,497
  4. Step 4: Simplify right side
    22,771,640x = 2,458,820,684,731,009
  5. Step 5: Solve for x
    x = 2,458,820,684,731,009/22,771,640
  6. Step 6: Final answer
    x = 107,977,321.12

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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.