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Finding the Third Proportional to 24,087,697,512 and 52,178,024,929

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Solution

The third proportional to 24,087,697,512 and 52,178,024,929 is: 113,026,422,892.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,087,697,512 : 52,178,024,929 = 52,178,024,929 : x
  2. Step 2: Convert to fraction form
    24,087,697,512/52,178,024,929 = 52,178,024,929/x
  3. Step 3: Cross multiply
    24,087,697,512x = 52,178,024,929 × 52,178,024,929
  4. Step 4: Simplify right side
    24,087,697,512x = 2,722,546,285,491,345,424,384
  5. Step 5: Solve for x
    x = 2,722,546,285,491,345,424,384/24,087,697,512
  6. Step 6: Final answer
    x = 113,026,422,892.23

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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.