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Finding the Third Proportional to 9,177,888 and 14,203,824

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Solution

The third proportional to 9,177,888 and 14,203,824 is: 21,982,030.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177,888 : 14,203,824 = 14,203,824 : x
  2. Step 2: Convert to fraction form
    9,177,888/14,203,824 = 14,203,824/x
  3. Step 3: Cross multiply
    9,177,888x = 14,203,824 × 14,203,824
  4. Step 4: Simplify right side
    9,177,888x = 201,748,616,222,976
  5. Step 5: Solve for x
    x = 201,748,616,222,976/9,177,888
  6. Step 6: Final answer
    x = 21,982,030.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.