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Finding the Third Proportional to 10,348,400 and 21,769,267

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Solution

The third proportional to 10,348,400 and 21,769,267 is: 45,794,614.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348,400 : 21,769,267 = 21,769,267 : x
  2. Step 2: Convert to fraction form
    10,348,400/21,769,267 = 21,769,267/x
  3. Step 3: Cross multiply
    10,348,400x = 21,769,267 × 21,769,267
  4. Step 4: Simplify right side
    10,348,400x = 473,900,985,717,289
  5. Step 5: Solve for x
    x = 473,900,985,717,289/10,348,400
  6. Step 6: Final answer
    x = 45,794,614.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.