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Finding the Third Proportional to 808,405,847 and 1,754,023,548

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Solution

The third proportional to 808,405,847 and 1,754,023,548 is: 3,805,759,963.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,405,847 : 1,754,023,548 = 1,754,023,548 : x
  2. Step 2: Convert to fraction form
    808,405,847/1,754,023,548 = 1,754,023,548/x
  3. Step 3: Cross multiply
    808,405,847x = 1,754,023,548 × 1,754,023,548
  4. Step 4: Simplify right side
    808,405,847x = 3,076,598,606,938,508,288
  5. Step 5: Solve for x
    x = 3,076,598,606,938,508,288/808,405,847
  6. Step 6: Final answer
    x = 3,805,759,963.71

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Why These Related Problems?

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