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Finding the Third Proportional to 3,975,212,684.25 and 8,612,924,895

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Solution

The third proportional to 3,975,212,684.25 and 8,612,924,895 is: 18,661,259,444.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975,212,684.25 : 8,612,924,895 = 8,612,924,895 : x
  2. Step 2: Convert to fraction form
    3,975,212,684.25/8,612,924,895 = 8,612,924,895/x
  3. Step 3: Cross multiply
    3,975,212,684.25x = 8,612,924,895 × 8,612,924,895
  4. Step 4: Simplify right side
    3,975,212,684.25x = 74,182,475,246,910,767,104
  5. Step 5: Solve for x
    x = 74,182,475,246,910,767,104/3,975,212,684.25
  6. Step 6: Final answer
    x = 18,661,259,444.26

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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.