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Finding the Third Proportional to 282,306,487 and 611,512,686

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Solution

The third proportional to 282,306,487 and 611,512,686 is: 1,324,616,267.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,306,487 : 611,512,686 = 611,512,686 : x
  2. Step 2: Convert to fraction form
    282,306,487/611,512,686 = 611,512,686/x
  3. Step 3: Cross multiply
    282,306,487x = 611,512,686 × 611,512,686
  4. Step 4: Simplify right side
    282,306,487x = 373,947,765,138,934,592
  5. Step 5: Solve for x
    x = 373,947,765,138,934,592/282,306,487
  6. Step 6: Final answer
    x = 1,324,616,267.63

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.