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Finding the Third Proportional to 11,004,220,298 and 24,170,243,440

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Solution

The third proportional to 11,004,220,298 and 24,170,243,440 is: 53,088,783,405.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,004,220,298 : 24,170,243,440 = 24,170,243,440 : x
  2. Step 2: Convert to fraction form
    11,004,220,298/24,170,243,440 = 24,170,243,440/x
  3. Step 3: Cross multiply
    11,004,220,298x = 24,170,243,440 × 24,170,243,440
  4. Step 4: Simplify right side
    11,004,220,298x = 584,200,667,948,863,062,016
  5. Step 5: Solve for x
    x = 584,200,667,948,863,062,016/11,004,220,298
  6. Step 6: Final answer
    x = 53,088,783,405.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.