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Finding the Third Proportional to 5,236,282.50 and 11,106,417

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Solution

The third proportional to 5,236,282.50 and 11,106,417 is: 23,557,265.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236,282.50 : 11,106,417 = 11,106,417 : x
  2. Step 2: Convert to fraction form
    5,236,282.50/11,106,417 = 11,106,417/x
  3. Step 3: Cross multiply
    5,236,282.50x = 11,106,417 × 11,106,417
  4. Step 4: Simplify right side
    5,236,282.50x = 123,352,498,577,889
  5. Step 5: Solve for x
    x = 123,352,498,577,889/5,236,282.50
  6. Step 6: Final answer
    x = 23,557,265.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.