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Finding the Third Proportional to 10,107,206 and 21,985,296

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Solution

The third proportional to 10,107,206 and 21,985,296 is: 47,822,636.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107,206 : 21,985,296 = 21,985,296 : x
  2. Step 2: Convert to fraction form
    10,107,206/21,985,296 = 21,985,296/x
  3. Step 3: Cross multiply
    10,107,206x = 21,985,296 × 21,985,296
  4. Step 4: Simplify right side
    10,107,206x = 483,353,240,207,616
  5. Step 5: Solve for x
    x = 483,353,240,207,616/10,107,206
  6. Step 6: Final answer
    x = 47,822,636.66

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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.