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Finding the Third Proportional to 4,607,067 and 10,024,417

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Solution

The third proportional to 4,607,067 and 10,024,417 is: 21,811,911.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607,067 : 10,024,417 = 10,024,417 : x
  2. Step 2: Convert to fraction form
    4,607,067/10,024,417 = 10,024,417/x
  3. Step 3: Cross multiply
    4,607,067x = 10,024,417 × 10,024,417
  4. Step 4: Simplify right side
    4,607,067x = 100,488,936,189,889
  5. Step 5: Solve for x
    x = 100,488,936,189,889/4,607,067
  6. Step 6: Final answer
    x = 21,811,911.18

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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.