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Finding the Third Proportional to 8,322,628 and 17,886,824

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Solution

The third proportional to 8,322,628 and 17,886,824 is: 38,442,000.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322,628 : 17,886,824 = 17,886,824 : x
  2. Step 2: Convert to fraction form
    8,322,628/17,886,824 = 17,886,824/x
  3. Step 3: Cross multiply
    8,322,628x = 17,886,824 × 17,886,824
  4. Step 4: Simplify right side
    8,322,628x = 319,938,472,806,976
  5. Step 5: Solve for x
    x = 319,938,472,806,976/8,322,628
  6. Step 6: Final answer
    x = 38,442,000.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.