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Finding the Third Proportional to 24,372,125,920 and 53,071,022,464

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Solution

The third proportional to 24,372,125,920 and 53,071,022,464 is: 115,563,715,476.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,372,125,920 : 53,071,022,464 = 53,071,022,464 : x
  2. Step 2: Convert to fraction form
    24,372,125,920/53,071,022,464 = 53,071,022,464/x
  3. Step 3: Cross multiply
    24,372,125,920x = 53,071,022,464 × 53,071,022,464
  4. Step 4: Simplify right side
    24,372,125,920x = 2,816,533,425,374,392,483,840
  5. Step 5: Solve for x
    x = 2,816,533,425,374,392,483,840/24,372,125,920
  6. Step 6: Final answer
    x = 115,563,715,476.42

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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.