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Finding the Third Proportional to 10,275,811 and 22,382,379

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Solution

The third proportional to 10,275,811 and 22,382,379 is: 48,752,442.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275,811 : 22,382,379 = 22,382,379 : x
  2. Step 2: Convert to fraction form
    10,275,811/22,382,379 = 22,382,379/x
  3. Step 3: Cross multiply
    10,275,811x = 22,382,379 × 22,382,379
  4. Step 4: Simplify right side
    10,275,811x = 500,970,889,699,641
  5. Step 5: Solve for x
    x = 500,970,889,699,641/10,275,811
  6. Step 6: Final answer
    x = 48,752,442.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.