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Finding the Third Proportional to 9,586,640 and 20,866,144

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Solution

The third proportional to 9,586,640 and 20,866,144 is: 45,416,951.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586,640 : 20,866,144 = 20,866,144 : x
  2. Step 2: Convert to fraction form
    9,586,640/20,866,144 = 20,866,144/x
  3. Step 3: Cross multiply
    9,586,640x = 20,866,144 × 20,866,144
  4. Step 4: Simplify right side
    9,586,640x = 435,395,965,428,736
  5. Step 5: Solve for x
    x = 435,395,965,428,736/9,586,640
  6. Step 6: Final answer
    x = 45,416,951.66

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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.