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Finding the Third Proportional to 24,959,669,240 and 50,791,036,144

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Solution

The third proportional to 24,959,669,240 and 50,791,036,144 is: 103,355,911,000.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,959,669,240 : 50,791,036,144 = 50,791,036,144 : x
  2. Step 2: Convert to fraction form
    24,959,669,240/50,791,036,144 = 50,791,036,144/x
  3. Step 3: Cross multiply
    24,959,669,240x = 50,791,036,144 × 50,791,036,144
  4. Step 4: Simplify right side
    24,959,669,240x = 2,579,729,352,581,114,232,832
  5. Step 5: Solve for x
    x = 2,579,729,352,581,114,232,832/24,959,669,240
  6. Step 6: Final answer
    x = 103,355,911,000.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.