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Finding the Third Proportional to 4,319,148 and 9,451,863

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Solution

The third proportional to 4,319,148 and 9,451,863 is: 20,684,105.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,319,148 : 9,451,863 = 9,451,863 : x
  2. Step 2: Convert to fraction form
    4,319,148/9,451,863 = 9,451,863/x
  3. Step 3: Cross multiply
    4,319,148x = 9,451,863 × 9,451,863
  4. Step 4: Simplify right side
    4,319,148x = 89,337,714,170,769
  5. Step 5: Solve for x
    x = 89,337,714,170,769/4,319,148
  6. Step 6: Final answer
    x = 20,684,105.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.