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Finding the Third Proportional to 552,100,776 and 1,181,757,432

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Solution

The third proportional to 552,100,776 and 1,181,757,432 is: 2,529,521,219.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,100,776 : 1,181,757,432 = 1,181,757,432 : x
  2. Step 2: Convert to fraction form
    552,100,776/1,181,757,432 = 1,181,757,432/x
  3. Step 3: Cross multiply
    552,100,776x = 1,181,757,432 × 1,181,757,432
  4. Step 4: Simplify right side
    552,100,776x = 1,396,550,628,087,234,560
  5. Step 5: Solve for x
    x = 1,396,550,628,087,234,560/552,100,776
  6. Step 6: Final answer
    x = 2,529,521,219.31

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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.