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Finding the Third Proportional to 24,372,125,878 and 53,071,022,364

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Solution

The third proportional to 24,372,125,878 and 53,071,022,364 is: 115,563,715,240.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,372,125,878 : 53,071,022,364 = 53,071,022,364 : x
  2. Step 2: Convert to fraction form
    24,372,125,878/53,071,022,364 = 53,071,022,364/x
  3. Step 3: Cross multiply
    24,372,125,878x = 53,071,022,364 × 53,071,022,364
  4. Step 4: Simplify right side
    24,372,125,878x = 2,816,533,414,760,188,215,296
  5. Step 5: Solve for x
    x = 2,816,533,414,760,188,215,296/24,372,125,878
  6. Step 6: Final answer
    x = 115,563,715,240.06

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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.