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Finding the Third Proportional to 4,616,973 and 10,022,493

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Solution

The third proportional to 4,616,973 and 10,022,493 is: 21,756,758.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616,973 : 10,022,493 = 10,022,493 : x
  2. Step 2: Convert to fraction form
    4,616,973/10,022,493 = 10,022,493/x
  3. Step 3: Cross multiply
    4,616,973x = 10,022,493 × 10,022,493
  4. Step 4: Simplify right side
    4,616,973x = 100,450,365,935,049
  5. Step 5: Solve for x
    x = 100,450,365,935,049/4,616,973
  6. Step 6: Final answer
    x = 21,756,758.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.