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Finding the Third Proportional to 738,902,200 and 1,594,957,616

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Solution

The third proportional to 738,902,200 and 1,594,957,616 is: 3,442,796,349.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,902,200 : 1,594,957,616 = 1,594,957,616 : x
  2. Step 2: Convert to fraction form
    738,902,200/1,594,957,616 = 1,594,957,616/x
  3. Step 3: Cross multiply
    738,902,200x = 1,594,957,616 × 1,594,957,616
  4. Step 4: Simplify right side
    738,902,200x = 2,543,889,796,836,403,200
  5. Step 5: Solve for x
    x = 2,543,889,796,836,403,200/738,902,200
  6. Step 6: Final answer
    x = 3,442,796,349.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.