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Finding the Third Proportional to 11,004,220,290 and 24,170,243,424

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Solution

The third proportional to 11,004,220,290 and 24,170,243,424 is: 53,088,783,373.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,004,220,290 : 24,170,243,424 = 24,170,243,424 : x
  2. Step 2: Convert to fraction form
    11,004,220,290/24,170,243,424 = 24,170,243,424/x
  3. Step 3: Cross multiply
    11,004,220,290x = 24,170,243,424 × 24,170,243,424
  4. Step 4: Simplify right side
    11,004,220,290x = 584,200,667,175,415,250,944
  5. Step 5: Solve for x
    x = 584,200,667,175,415,250,944/11,004,220,290
  6. Step 6: Final answer
    x = 53,088,783,373.98

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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.