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Finding the Third Proportional to 11,219,886 and 24,234,084

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Solution

The third proportional to 11,219,886 and 24,234,084 is: 52,343,742.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,219,886 : 24,234,084 = 24,234,084 : x
  2. Step 2: Convert to fraction form
    11,219,886/24,234,084 = 24,234,084/x
  3. Step 3: Cross multiply
    11,219,886x = 24,234,084 × 24,234,084
  4. Step 4: Simplify right side
    11,219,886x = 587,290,827,319,056
  5. Step 5: Solve for x
    x = 587,290,827,319,056/11,219,886
  6. Step 6: Final answer
    x = 52,343,742.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.