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Finding the Third Proportional to 1,638,693,369 and 2,395,826,995

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Solution

The third proportional to 1,638,693,369 and 2,395,826,995 is: 3,502,782,825.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,693,369 : 2,395,826,995 = 2,395,826,995 : x
  2. Step 2: Convert to fraction form
    1,638,693,369/2,395,826,995 = 2,395,826,995/x
  3. Step 3: Cross multiply
    1,638,693,369x = 2,395,826,995 × 2,395,826,995
  4. Step 4: Simplify right side
    1,638,693,369x = 5,739,986,989,970,729,984
  5. Step 5: Solve for x
    x = 5,739,986,989,970,729,984/1,638,693,369
  6. Step 6: Final answer
    x = 3,502,782,825.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.