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Finding the Third Proportional to 6,503,327 and 14,294,088

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Solution

The third proportional to 6,503,327 and 14,294,088 is: 31,417,911.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503,327 : 14,294,088 = 14,294,088 : x
  2. Step 2: Convert to fraction form
    6,503,327/14,294,088 = 14,294,088/x
  3. Step 3: Cross multiply
    6,503,327x = 14,294,088 × 14,294,088
  4. Step 4: Simplify right side
    6,503,327x = 204,320,951,751,744
  5. Step 5: Solve for x
    x = 204,320,951,751,744/6,503,327
  6. Step 6: Final answer
    x = 31,417,911.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.