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Finding the Third Proportional to 4,660,754 and 9,969,164

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Solution

The third proportional to 4,660,754 and 9,969,164 is: 21,323,637.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660,754 : 9,969,164 = 9,969,164 : x
  2. Step 2: Convert to fraction form
    4,660,754/9,969,164 = 9,969,164/x
  3. Step 3: Cross multiply
    4,660,754x = 9,969,164 × 9,969,164
  4. Step 4: Simplify right side
    4,660,754x = 99,384,230,858,896
  5. Step 5: Solve for x
    x = 99,384,230,858,896/4,660,754
  6. Step 6: Final answer
    x = 21,323,637.95

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.