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Finding the Third Proportional to 861,061,887,649.50 and 1,844,942,494,807.50

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Solution

The third proportional to 861,061,887,649.50 and 1,844,942,494,807.50 is: 3,953,040,841,742.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,061,887,649.50 : 1,844,942,494,807.50 = 1,844,942,494,807.50 : x
  2. Step 2: Convert to fraction form
    861,061,887,649.50/1,844,942,494,807.50 = 1,844,942,494,807.50/x
  3. Step 3: Cross multiply
    861,061,887,649.50x = 1,844,942,494,807.50 × 1,844,942,494,807.50
  4. Step 4: Simplify right side
    861,061,887,649.50x = 3,403,812,809,146,522,249,723,904
  5. Step 5: Solve for x
    x = 3,403,812,809,146,522,249,723,904/861,061,887,649.50
  6. Step 6: Final answer
    x = 3,953,040,841,742.68

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.