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Finding the Third Proportional to 606,665,957.25 and 1,307,048,524.50

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Solution

The third proportional to 606,665,957.25 and 1,307,048,524.50 is: 2,816,007,433.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,665,957.25 : 1,307,048,524.50 = 1,307,048,524.50 : x
  2. Step 2: Convert to fraction form
    606,665,957.25/1,307,048,524.50 = 1,307,048,524.50/x
  3. Step 3: Cross multiply
    606,665,957.25x = 1,307,048,524.50 × 1,307,048,524.50
  4. Step 4: Simplify right side
    606,665,957.25x = 1,708,375,845,397,627,136
  5. Step 5: Solve for x
    x = 1,708,375,845,397,627,136/606,665,957.25
  6. Step 6: Final answer
    x = 2,816,007,433.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.