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Finding the Third Proportional to 9,348,408.50 and 14,360,299

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Solution

The third proportional to 9,348,408.50 and 14,360,299 is: 22,059,175.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348,408.50 : 14,360,299 = 14,360,299 : x
  2. Step 2: Convert to fraction form
    9,348,408.50/14,360,299 = 14,360,299/x
  3. Step 3: Cross multiply
    9,348,408.50x = 14,360,299 × 14,360,299
  4. Step 4: Simplify right side
    9,348,408.50x = 206,218,187,369,401
  5. Step 5: Solve for x
    x = 206,218,187,369,401/9,348,408.50
  6. Step 6: Final answer
    x = 22,059,175.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.