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Finding the Third Proportional to 6,283,971 and 9,608,580

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Solution

The third proportional to 6,283,971 and 9,608,580 is: 14,692,112.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283,971 : 9,608,580 = 9,608,580 : x
  2. Step 2: Convert to fraction form
    6,283,971/9,608,580 = 9,608,580/x
  3. Step 3: Cross multiply
    6,283,971x = 9,608,580 × 9,608,580
  4. Step 4: Simplify right side
    6,283,971x = 92,324,809,616,400
  5. Step 5: Solve for x
    x = 92,324,809,616,400/6,283,971
  6. Step 6: Final answer
    x = 14,692,112.62

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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.