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Finding the Third Proportional to 647,625,035.25 and 994,831,269.75

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Solution

The third proportional to 647,625,035.25 and 994,831,269.75 is: 1,528,182,515.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,625,035.25 : 994,831,269.75 = 994,831,269.75 : x
  2. Step 2: Convert to fraction form
    647,625,035.25/994,831,269.75 = 994,831,269.75/x
  3. Step 3: Cross multiply
    647,625,035.25x = 994,831,269.75 × 994,831,269.75
  4. Step 4: Simplify right side
    647,625,035.25x = 989,689,255,272,397,312
  5. Step 5: Solve for x
    x = 989,689,255,272,397,312/647,625,035.25
  6. Step 6: Final answer
    x = 1,528,182,515.20

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Why These Related Problems?

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