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Finding the Third Proportional to 3,848,026,018 and 5,948,748,978

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Solution

The third proportional to 3,848,026,018 and 5,948,748,978 is: 9,196,303,309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848,026,018 : 5,948,748,978 = 5,948,748,978 : x
  2. Step 2: Convert to fraction form
    3,848,026,018/5,948,748,978 = 5,948,748,978/x
  3. Step 3: Cross multiply
    3,848,026,018x = 5,948,748,978 × 5,948,748,978
  4. Step 4: Simplify right side
    3,848,026,018x = 35,387,614,403,256,045,568
  5. Step 5: Solve for x
    x = 35,387,614,403,256,045,568/3,848,026,018
  6. Step 6: Final answer
    x = 9,196,303,309.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.