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Finding the Third Proportional to 24,672,384 and 53,463,434

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Solution

The third proportional to 24,672,384 and 53,463,434 is: 115,851,746.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,672,384 : 53,463,434 = 53,463,434 : x
  2. Step 2: Convert to fraction form
    24,672,384/53,463,434 = 53,463,434/x
  3. Step 3: Cross multiply
    24,672,384x = 53,463,434 × 53,463,434
  4. Step 4: Simplify right side
    24,672,384x = 2,858,338,775,072,356
  5. Step 5: Solve for x
    x = 2,858,338,775,072,356/24,672,384
  6. Step 6: Final answer
    x = 115,851,746.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.