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Finding the Third Proportional to 1,933,932,815 and 4,143,583,456

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Solution

The third proportional to 1,933,932,815 and 4,143,583,456 is: 8,877,911,230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933,932,815 : 4,143,583,456 = 4,143,583,456 : x
  2. Step 2: Convert to fraction form
    1,933,932,815/4,143,583,456 = 4,143,583,456/x
  3. Step 3: Cross multiply
    1,933,932,815x = 4,143,583,456 × 4,143,583,456
  4. Step 4: Simplify right side
    1,933,932,815x = 17,169,283,856,836,902,912
  5. Step 5: Solve for x
    x = 17,169,283,856,836,902,912/1,933,932,815
  6. Step 6: Final answer
    x = 8,877,911,230.25

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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.