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Finding the Third Proportional to 4,510,971 and 9,769,896

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Solution

The third proportional to 4,510,971 and 9,769,896 is: 21,159,716.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510,971 : 9,769,896 = 9,769,896 : x
  2. Step 2: Convert to fraction form
    4,510,971/9,769,896 = 9,769,896/x
  3. Step 3: Cross multiply
    4,510,971x = 9,769,896 × 9,769,896
  4. Step 4: Simplify right side
    4,510,971x = 95,450,867,850,816
  5. Step 5: Solve for x
    x = 95,450,867,850,816/4,510,971
  6. Step 6: Final answer
    x = 21,159,716.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.