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Finding the Third Proportional to 11,432,247,141 and 24,764,179,963.50

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Solution

The third proportional to 11,432,247,141 and 24,764,179,963.50 is: 53,643,400,260.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,432,247,141 : 24,764,179,963.50 = 24,764,179,963.50 : x
  2. Step 2: Convert to fraction form
    11,432,247,141/24,764,179,963.50 = 24,764,179,963.50/x
  3. Step 3: Cross multiply
    11,432,247,141x = 24,764,179,963.50 × 24,764,179,963.50
  4. Step 4: Simplify right side
    11,432,247,141x = 613,264,609,264,614,899,712
  5. Step 5: Solve for x
    x = 613,264,609,264,614,899,712/11,432,247,141
  6. Step 6: Final answer
    x = 53,643,400,260.76

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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.