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Finding the Third Proportional to 9,606,824 and 20,919,378

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Solution

The third proportional to 9,606,824 and 20,919,378 is: 45,553,075.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606,824 : 20,919,378 = 20,919,378 : x
  2. Step 2: Convert to fraction form
    9,606,824/20,919,378 = 20,919,378/x
  3. Step 3: Cross multiply
    9,606,824x = 20,919,378 × 20,919,378
  4. Step 4: Simplify right side
    9,606,824x = 437,620,375,906,884
  5. Step 5: Solve for x
    x = 437,620,375,906,884/9,606,824
  6. Step 6: Final answer
    x = 45,553,075.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.