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Finding the Third Proportional to 11,052,298 and 23,784,214

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Solution

The third proportional to 11,052,298 and 23,784,214 is: 51,182,915.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,052,298 : 23,784,214 = 23,784,214 : x
  2. Step 2: Convert to fraction form
    11,052,298/23,784,214 = 23,784,214/x
  3. Step 3: Cross multiply
    11,052,298x = 23,784,214 × 23,784,214
  4. Step 4: Simplify right side
    11,052,298x = 565,688,835,597,796
  5. Step 5: Solve for x
    x = 565,688,835,597,796/11,052,298
  6. Step 6: Final answer
    x = 51,182,915.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.