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Finding the Third Proportional to 24,501,024 and 36,512,640

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Solution

The third proportional to 24,501,024 and 36,512,640 is: 54,412,945.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,501,024 : 36,512,640 = 36,512,640 : x
  2. Step 2: Convert to fraction form
    24,501,024/36,512,640 = 36,512,640/x
  3. Step 3: Cross multiply
    24,501,024x = 36,512,640 × 36,512,640
  4. Step 4: Simplify right side
    24,501,024x = 1,333,172,879,769,600
  5. Step 5: Solve for x
    x = 1,333,172,879,769,600/24,501,024
  6. Step 6: Final answer
    x = 54,412,945.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.