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Finding the Third Proportional to 17,023,824 and 27,101,364

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Solution

The third proportional to 17,023,824 and 27,101,364 is: 43,144,473.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,023,824 : 27,101,364 = 27,101,364 : x
  2. Step 2: Convert to fraction form
    17,023,824/27,101,364 = 27,101,364/x
  3. Step 3: Cross multiply
    17,023,824x = 27,101,364 × 27,101,364
  4. Step 4: Simplify right side
    17,023,824x = 734,483,930,660,496
  5. Step 5: Solve for x
    x = 734,483,930,660,496/17,023,824
  6. Step 6: Final answer
    x = 43,144,473.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.