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Finding the Third Proportional to 5,396,468 and 11,009,711

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Solution

The third proportional to 5,396,468 and 11,009,711 is: 22,461,679.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396,468 : 11,009,711 = 11,009,711 : x
  2. Step 2: Convert to fraction form
    5,396,468/11,009,711 = 11,009,711/x
  3. Step 3: Cross multiply
    5,396,468x = 11,009,711 × 11,009,711
  4. Step 4: Simplify right side
    5,396,468x = 121,213,736,303,521
  5. Step 5: Solve for x
    x = 121,213,736,303,521/5,396,468
  6. Step 6: Final answer
    x = 22,461,679.81

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.