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Finding the Third Proportional to 6,508,900 and 13,997,391

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Solution

The third proportional to 6,508,900 and 13,997,391 is: 30,101,392.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508,900 : 13,997,391 = 13,997,391 : x
  2. Step 2: Convert to fraction form
    6,508,900/13,997,391 = 13,997,391/x
  3. Step 3: Cross multiply
    6,508,900x = 13,997,391 × 13,997,391
  4. Step 4: Simplify right side
    6,508,900x = 195,926,954,806,881
  5. Step 5: Solve for x
    x = 195,926,954,806,881/6,508,900
  6. Step 6: Final answer
    x = 30,101,392.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.