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Finding the Third Proportional to 6,283,749.66 and 9,608,387.06

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Solution

The third proportional to 6,283,749.66 and 9,608,387.06 is: 14,692,040.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283,749.66 : 9,608,387.06 = 9,608,387.06 : x
  2. Step 2: Convert to fraction form
    6,283,749.66/9,608,387.06 = 9,608,387.06/x
  3. Step 3: Cross multiply
    6,283,749.66x = 9,608,387.06 × 9,608,387.06
  4. Step 4: Simplify right side
    6,283,749.66x = 92,321,101,942,817.38
  5. Step 5: Solve for x
    x = 92,321,101,942,817.38/6,283,749.66
  6. Step 6: Final answer
    x = 14,692,040.10

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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.