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Finding the Third Proportional to 2,831,032,158 and 6,206,259,900

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Solution

The third proportional to 2,831,032,158 and 6,206,259,900 is: 13,605,519,046.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831,032,158 : 6,206,259,900 = 6,206,259,900 : x
  2. Step 2: Convert to fraction form
    2,831,032,158/6,206,259,900 = 6,206,259,900/x
  3. Step 3: Cross multiply
    2,831,032,158x = 6,206,259,900 × 6,206,259,900
  4. Step 4: Simplify right side
    2,831,032,158x = 38,517,661,946,348,011,520
  5. Step 5: Solve for x
    x = 38,517,661,946,348,011,520/2,831,032,158
  6. Step 6: Final answer
    x = 13,605,519,046.30

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.