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Finding the Third Proportional to 9,697,274 and 21,211,947

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Solution

The third proportional to 9,697,274 and 21,211,947 is: 46,399,296.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697,274 : 21,211,947 = 21,211,947 : x
  2. Step 2: Convert to fraction form
    9,697,274/21,211,947 = 21,211,947/x
  3. Step 3: Cross multiply
    9,697,274x = 21,211,947 × 21,211,947
  4. Step 4: Simplify right side
    9,697,274x = 449,946,695,530,809
  5. Step 5: Solve for x
    x = 449,946,695,530,809/9,697,274
  6. Step 6: Final answer
    x = 46,399,296.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.