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Finding the Third Proportional to 24,372,125,856 and 53,071,022,320

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Solution

The third proportional to 24,372,125,856 and 53,071,022,320 is: 115,563,715,152.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,372,125,856 : 53,071,022,320 = 53,071,022,320 : x
  2. Step 2: Convert to fraction form
    24,372,125,856/53,071,022,320 = 53,071,022,320/x
  3. Step 3: Cross multiply
    24,372,125,856x = 53,071,022,320 × 53,071,022,320
  4. Step 4: Simplify right side
    24,372,125,856x = 2,816,533,410,089,938,190,336
  5. Step 5: Solve for x
    x = 2,816,533,410,089,938,190,336/24,372,125,856
  6. Step 6: Final answer
    x = 115,563,715,152.76

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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.