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Finding the Third Proportional to 11,867,832 and 25,415,280

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Solution

The third proportional to 11,867,832 and 25,415,280 is: 54,427,502.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867,832 : 25,415,280 = 25,415,280 : x
  2. Step 2: Convert to fraction form
    11,867,832/25,415,280 = 25,415,280/x
  3. Step 3: Cross multiply
    11,867,832x = 25,415,280 × 25,415,280
  4. Step 4: Simplify right side
    11,867,832x = 645,936,457,478,400
  5. Step 5: Solve for x
    x = 645,936,457,478,400/11,867,832
  6. Step 6: Final answer
    x = 54,427,502.64

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Why These Related Problems?

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