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Finding the Third Proportional to 9,691,867 and 21,144,133

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Solution

The third proportional to 9,691,867 and 21,144,133 is: 46,128,817.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691,867 : 21,144,133 = 21,144,133 : x
  2. Step 2: Convert to fraction form
    9,691,867/21,144,133 = 21,144,133/x
  3. Step 3: Cross multiply
    9,691,867x = 21,144,133 × 21,144,133
  4. Step 4: Simplify right side
    9,691,867x = 447,074,360,321,689
  5. Step 5: Solve for x
    x = 447,074,360,321,689/9,691,867
  6. Step 6: Final answer
    x = 46,128,817.11

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.