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Finding the Third Proportional to 1,808,802,102 and 3,918,100,865

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Solution

The third proportional to 1,808,802,102 and 3,918,100,865 is: 8,487,116,623.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808,802,102 : 3,918,100,865 = 3,918,100,865 : x
  2. Step 2: Convert to fraction form
    1,808,802,102/3,918,100,865 = 3,918,100,865/x
  3. Step 3: Cross multiply
    1,808,802,102x = 3,918,100,865 × 3,918,100,865
  4. Step 4: Simplify right side
    1,808,802,102x = 15,351,514,388,313,747,456
  5. Step 5: Solve for x
    x = 15,351,514,388,313,747,456/1,808,802,102
  6. Step 6: Final answer
    x = 8,487,116,623.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.