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Finding the Third Proportional to 552,101,318 and 1,181,758,604

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Solution

The third proportional to 552,101,318 and 1,181,758,604 is: 2,529,523,753.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,101,318 : 1,181,758,604 = 1,181,758,604 : x
  2. Step 2: Convert to fraction form
    552,101,318/1,181,758,604 = 1,181,758,604/x
  3. Step 3: Cross multiply
    552,101,318x = 1,181,758,604 × 1,181,758,604
  4. Step 4: Simplify right side
    552,101,318x = 1,396,553,398,128,028,928
  5. Step 5: Solve for x
    x = 1,396,553,398,128,028,928/552,101,318
  6. Step 6: Final answer
    x = 2,529,523,753.33

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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.