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Finding the Third Proportional to 6,283,753 and 9,608,391

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Solution

The third proportional to 6,283,753 and 9,608,391 is: 14,692,044.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283,753 : 9,608,391 = 9,608,391 : x
  2. Step 2: Convert to fraction form
    6,283,753/9,608,391 = 9,608,391/x
  3. Step 3: Cross multiply
    6,283,753x = 9,608,391 × 9,608,391
  4. Step 4: Simplify right side
    6,283,753x = 92,321,177,608,881
  5. Step 5: Solve for x
    x = 92,321,177,608,881/6,283,753
  6. Step 6: Final answer
    x = 14,692,044.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.