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Finding the Third Proportional to 4,524,822 and 9,758,232

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Solution

The third proportional to 4,524,822 and 9,758,232 is: 21,044,605.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,524,822 : 9,758,232 = 9,758,232 : x
  2. Step 2: Convert to fraction form
    4,524,822/9,758,232 = 9,758,232/x
  3. Step 3: Cross multiply
    4,524,822x = 9,758,232 × 9,758,232
  4. Step 4: Simplify right side
    4,524,822x = 95,223,091,765,824
  5. Step 5: Solve for x
    x = 95,223,091,765,824/4,524,822
  6. Step 6: Final answer
    x = 21,044,605.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.