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Finding the Third Proportional to 3,952,899,414 and 5,269,913,181

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Solution

The third proportional to 3,952,899,414 and 5,269,913,181 is: 7,025,725,177.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952,899,414 : 5,269,913,181 = 5,269,913,181 : x
  2. Step 2: Convert to fraction form
    3,952,899,414/5,269,913,181 = 5,269,913,181/x
  3. Step 3: Cross multiply
    3,952,899,414x = 5,269,913,181 × 5,269,913,181
  4. Step 4: Simplify right side
    3,952,899,414x = 27,771,984,935,277,539,328
  5. Step 5: Solve for x
    x = 27,771,984,935,277,539,328/3,952,899,414
  6. Step 6: Final answer
    x = 7,025,725,177.05

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.