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Finding the Third Proportional to 5,823,769 and 12,394,403

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Solution

The third proportional to 5,823,769 and 12,394,403 is: 26,378,317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823,769 : 12,394,403 = 12,394,403 : x
  2. Step 2: Convert to fraction form
    5,823,769/12,394,403 = 12,394,403/x
  3. Step 3: Cross multiply
    5,823,769x = 12,394,403 × 12,394,403
  4. Step 4: Simplify right side
    5,823,769x = 153,621,225,726,409
  5. Step 5: Solve for x
    x = 153,621,225,726,409/5,823,769
  6. Step 6: Final answer
    x = 26,378,317.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.