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Finding the Third Proportional to 9,122,824 and 19,593,392

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Solution

The third proportional to 9,122,824 and 19,593,392 is: 42,081,378.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122,824 : 19,593,392 = 19,593,392 : x
  2. Step 2: Convert to fraction form
    9,122,824/19,593,392 = 19,593,392/x
  3. Step 3: Cross multiply
    9,122,824x = 19,593,392 × 19,593,392
  4. Step 4: Simplify right side
    9,122,824x = 383,901,010,065,664
  5. Step 5: Solve for x
    x = 383,901,010,065,664/9,122,824
  6. Step 6: Final answer
    x = 42,081,378.54

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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.