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Finding the Third Proportional to 24,418,781,970 and 52,894,268,990

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Solution

The third proportional to 24,418,781,970 and 52,894,268,990 is: 114,575,890,616.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,418,781,970 : 52,894,268,990 = 52,894,268,990 : x
  2. Step 2: Convert to fraction form
    24,418,781,970/52,894,268,990 = 52,894,268,990/x
  3. Step 3: Cross multiply
    24,418,781,970x = 52,894,268,990 × 52,894,268,990
  4. Step 4: Simplify right side
    24,418,781,970x = 2,797,803,691,986,475,548,672
  5. Step 5: Solve for x
    x = 2,797,803,691,986,475,548,672/24,418,781,970
  6. Step 6: Final answer
    x = 114,575,890,616.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.