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Finding the Third Proportional to 5,422,069 and 11,736,784

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Solution

The third proportional to 5,422,069 and 11,736,784 is: 25,405,818.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422,069 : 11,736,784 = 11,736,784 : x
  2. Step 2: Convert to fraction form
    5,422,069/11,736,784 = 11,736,784/x
  3. Step 3: Cross multiply
    5,422,069x = 11,736,784 × 11,736,784
  4. Step 4: Simplify right side
    5,422,069x = 137,752,098,662,656
  5. Step 5: Solve for x
    x = 137,752,098,662,656/5,422,069
  6. Step 6: Final answer
    x = 25,405,818.09

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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.