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Finding the Third Proportional to 7,579,904 and 11,662,616

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Solution

The third proportional to 7,579,904 and 11,662,616 is: 17,944,371.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,579,904 : 11,662,616 = 11,662,616 : x
  2. Step 2: Convert to fraction form
    7,579,904/11,662,616 = 11,662,616/x
  3. Step 3: Cross multiply
    7,579,904x = 11,662,616 × 11,662,616
  4. Step 4: Simplify right side
    7,579,904x = 136,016,611,963,456
  5. Step 5: Solve for x
    x = 136,016,611,963,456/7,579,904
  6. Step 6: Final answer
    x = 17,944,371.32

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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.