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Finding the Third Proportional to 24,087,697,510 and 52,178,024,925

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Solution

The third proportional to 24,087,697,510 and 52,178,024,925 is: 113,026,422,884.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,087,697,510 : 52,178,024,925 = 52,178,024,925 : x
  2. Step 2: Convert to fraction form
    24,087,697,510/52,178,024,925 = 52,178,024,925/x
  3. Step 3: Cross multiply
    24,087,697,510x = 52,178,024,925 × 52,178,024,925
  4. Step 4: Simplify right side
    24,087,697,510x = 2,722,546,285,073,921,474,560
  5. Step 5: Solve for x
    x = 2,722,546,285,073,921,474,560/24,087,697,510
  6. Step 6: Final answer
    x = 113,026,422,884.28

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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.