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Finding the Third Proportional to 23,772,632,285 and 51,816,752,975

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Solution

The third proportional to 23,772,632,285 and 51,816,752,975 is: 112,943,987,720.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,772,632,285 : 51,816,752,975 = 51,816,752,975 : x
  2. Step 2: Convert to fraction form
    23,772,632,285/51,816,752,975 = 51,816,752,975/x
  3. Step 3: Cross multiply
    23,772,632,285x = 51,816,752,975 × 51,816,752,975
  4. Step 4: Simplify right side
    23,772,632,285x = 2,684,975,888,872,171,372,544
  5. Step 5: Solve for x
    x = 2,684,975,888,872,171,372,544/23,772,632,285
  6. Step 6: Final answer
    x = 112,943,987,720.13

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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.