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Finding the Third Proportional to 7,579,922 and 11,662,647

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Solution

The third proportional to 7,579,922 and 11,662,647 is: 17,944,424.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,579,922 : 11,662,647 = 11,662,647 : x
  2. Step 2: Convert to fraction form
    7,579,922/11,662,647 = 11,662,647/x
  3. Step 3: Cross multiply
    7,579,922x = 11,662,647 × 11,662,647
  4. Step 4: Simplify right side
    7,579,922x = 136,017,335,046,609
  5. Step 5: Solve for x
    x = 136,017,335,046,609/7,579,922
  6. Step 6: Final answer
    x = 17,944,424.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.