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Finding the Third Proportional to 6,149,772 and 9,546,967

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Solution

The third proportional to 6,149,772 and 9,546,967 is: 14,820,806.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149,772 : 9,546,967 = 9,546,967 : x
  2. Step 2: Convert to fraction form
    6,149,772/9,546,967 = 9,546,967/x
  3. Step 3: Cross multiply
    6,149,772x = 9,546,967 × 9,546,967
  4. Step 4: Simplify right side
    6,149,772x = 91,144,578,899,089
  5. Step 5: Solve for x
    x = 91,144,578,899,089/6,149,772
  6. Step 6: Final answer
    x = 14,820,806.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.