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Finding the Third Proportional to 14,588,524 and 33,769,834

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Solution

The third proportional to 14,588,524 and 33,769,834 is: 78,171,149.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,588,524 : 33,769,834 = 33,769,834 : x
  2. Step 2: Convert to fraction form
    14,588,524/33,769,834 = 33,769,834/x
  3. Step 3: Cross multiply
    14,588,524x = 33,769,834 × 33,769,834
  4. Step 4: Simplify right side
    14,588,524x = 1,140,401,688,387,556
  5. Step 5: Solve for x
    x = 1,140,401,688,387,556/14,588,524
  6. Step 6: Final answer
    x = 78,171,149.35

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.