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Finding the Third Proportional to 7,692,201 and 16,414,074

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Solution

The third proportional to 7,692,201 and 16,414,074 is: 35,025,323.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692,201 : 16,414,074 = 16,414,074 : x
  2. Step 2: Convert to fraction form
    7,692,201/16,414,074 = 16,414,074/x
  3. Step 3: Cross multiply
    7,692,201x = 16,414,074 × 16,414,074
  4. Step 4: Simplify right side
    7,692,201x = 269,421,825,277,476
  5. Step 5: Solve for x
    x = 269,421,825,277,476/7,692,201
  6. Step 6: Final answer
    x = 35,025,323.09

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.