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Finding the Third Proportional to 24,418,781,967.50 and 52,894,268,986

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Solution

The third proportional to 24,418,781,967.50 and 52,894,268,986 is: 114,575,890,611.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,418,781,967.50 : 52,894,268,986 = 52,894,268,986 : x
  2. Step 2: Convert to fraction form
    24,418,781,967.50/52,894,268,986 = 52,894,268,986/x
  3. Step 3: Cross multiply
    24,418,781,967.50x = 52,894,268,986 × 52,894,268,986
  4. Step 4: Simplify right side
    24,418,781,967.50x = 2,797,803,691,563,321,655,296
  5. Step 5: Solve for x
    x = 2,797,803,691,563,321,655,296/24,418,781,967.50
  6. Step 6: Final answer
    x = 114,575,890,611.05

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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.