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Finding the Third Proportional to 24,477,640 and 53,278,944

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Solution

The third proportional to 24,477,640 and 53,278,944 is: 115,968,936.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,477,640 : 53,278,944 = 53,278,944 : x
  2. Step 2: Convert to fraction form
    24,477,640/53,278,944 = 53,278,944/x
  3. Step 3: Cross multiply
    24,477,640x = 53,278,944 × 53,278,944
  4. Step 4: Simplify right side
    24,477,640x = 2,838,645,873,755,136
  5. Step 5: Solve for x
    x = 2,838,645,873,755,136/24,477,640
  6. Step 6: Final answer
    x = 115,968,936.29

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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.