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Finding the Third Proportional to 3,975,212,691 and 8,612,924,908

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Solution

The third proportional to 3,975,212,691 and 8,612,924,908 is: 18,661,259,468.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975,212,691 : 8,612,924,908 = 8,612,924,908 : x
  2. Step 2: Convert to fraction form
    3,975,212,691/8,612,924,908 = 8,612,924,908/x
  3. Step 3: Cross multiply
    3,975,212,691x = 8,612,924,908 × 8,612,924,908
  4. Step 4: Simplify right side
    3,975,212,691x = 74,182,475,470,846,803,968
  5. Step 5: Solve for x
    x = 74,182,475,470,846,803,968/3,975,212,691
  6. Step 6: Final answer
    x = 18,661,259,468.91

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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.