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Finding the Third Proportional to 6,273,113 and 9,589,971

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Solution

The third proportional to 6,273,113 and 9,589,971 is: 14,660,590.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,273,113 : 9,589,971 = 9,589,971 : x
  2. Step 2: Convert to fraction form
    6,273,113/9,589,971 = 9,589,971/x
  3. Step 3: Cross multiply
    6,273,113x = 9,589,971 × 9,589,971
  4. Step 4: Simplify right side
    6,273,113x = 91,967,543,780,841
  5. Step 5: Solve for x
    x = 91,967,543,780,841/6,273,113
  6. Step 6: Final answer
    x = 14,660,590.97

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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.