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Finding the Third Proportional to 647,625,034 and 994,831,268

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Solution

The third proportional to 647,625,034 and 994,831,268 is: 1,528,182,512.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,625,034 : 994,831,268 = 994,831,268 : x
  2. Step 2: Convert to fraction form
    647,625,034/994,831,268 = 994,831,268/x
  3. Step 3: Cross multiply
    647,625,034x = 994,831,268 × 994,831,268
  4. Step 4: Simplify right side
    647,625,034x = 989,689,251,790,487,808
  5. Step 5: Solve for x
    x = 989,689,251,790,487,808/647,625,034
  6. Step 6: Final answer
    x = 1,528,182,512.77

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.