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Finding the Third Proportional to 2,387,295,516 and 5,137,388,196

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Solution

The third proportional to 2,387,295,516 and 5,137,388,196 is: 11,055,504,984.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387,295,516 : 5,137,388,196 = 5,137,388,196 : x
  2. Step 2: Convert to fraction form
    2,387,295,516/5,137,388,196 = 5,137,388,196/x
  3. Step 3: Cross multiply
    2,387,295,516x = 5,137,388,196 × 5,137,388,196
  4. Step 4: Simplify right side
    2,387,295,516x = 26,392,757,476,400,136,192
  5. Step 5: Solve for x
    x = 26,392,757,476,400,136,192/2,387,295,516
  6. Step 6: Final answer
    x = 11,055,504,984.41

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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.