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Finding the Third Proportional to 4,845,507,903 and 10,517,987,814

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Solution

The third proportional to 4,845,507,903 and 10,517,987,814 is: 22,831,057,108.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,845,507,903 : 10,517,987,814 = 10,517,987,814 : x
  2. Step 2: Convert to fraction form
    4,845,507,903/10,517,987,814 = 10,517,987,814/x
  3. Step 3: Cross multiply
    4,845,507,903x = 10,517,987,814 × 10,517,987,814
  4. Step 4: Simplify right side
    4,845,507,903x = 110,628,067,655,452,491,776
  5. Step 5: Solve for x
    x = 110,628,067,655,452,491,776/4,845,507,903
  6. Step 6: Final answer
    x = 22,831,057,108.99

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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.