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Finding the Third Proportional to 24,372,125,879 and 53,071,022,366

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Solution

The third proportional to 24,372,125,879 and 53,071,022,366 is: 115,563,715,244.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,372,125,879 : 53,071,022,366 = 53,071,022,366 : x
  2. Step 2: Convert to fraction form
    24,372,125,879/53,071,022,366 = 53,071,022,366/x
  3. Step 3: Cross multiply
    24,372,125,879x = 53,071,022,366 × 53,071,022,366
  4. Step 4: Simplify right side
    24,372,125,879x = 2,816,533,414,972,472,426,496
  5. Step 5: Solve for x
    x = 2,816,533,414,972,472,426,496/24,372,125,879
  6. Step 6: Final answer
    x = 115,563,715,244.03

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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.