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Finding the Third Proportional to 10,421,000 and 21,961,744

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Solution

The third proportional to 10,421,000 and 21,961,744 is: 46,283,293.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421,000 : 21,961,744 = 21,961,744 : x
  2. Step 2: Convert to fraction form
    10,421,000/21,961,744 = 21,961,744/x
  3. Step 3: Cross multiply
    10,421,000x = 21,961,744 × 21,961,744
  4. Step 4: Simplify right side
    10,421,000x = 482,318,199,521,536
  5. Step 5: Solve for x
    x = 482,318,199,521,536/10,421,000
  6. Step 6: Final answer
    x = 46,283,293.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.