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Finding the Third Proportional to 6,169,264 and 9,217,608

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Solution

The third proportional to 6,169,264 and 9,217,608 is: 13,772,193.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169,264 : 9,217,608 = 9,217,608 : x
  2. Step 2: Convert to fraction form
    6,169,264/9,217,608 = 9,217,608/x
  3. Step 3: Cross multiply
    6,169,264x = 9,217,608 × 9,217,608
  4. Step 4: Simplify right side
    6,169,264x = 84,964,297,241,664
  5. Step 5: Solve for x
    x = 84,964,297,241,664/6,169,264
  6. Step 6: Final answer
    x = 13,772,193.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.