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Finding the Third Proportional to 3,975,212,685 and 8,612,924,898

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Solution

The third proportional to 3,975,212,685 and 8,612,924,898 is: 18,661,259,453.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975,212,685 : 8,612,924,898 = 8,612,924,898 : x
  2. Step 2: Convert to fraction form
    3,975,212,685/8,612,924,898 = 8,612,924,898/x
  3. Step 3: Cross multiply
    3,975,212,685x = 8,612,924,898 × 8,612,924,898
  4. Step 4: Simplify right side
    3,975,212,685x = 74,182,475,298,588,311,552
  5. Step 5: Solve for x
    x = 74,182,475,298,588,311,552/3,975,212,685
  6. Step 6: Final answer
    x = 18,661,259,453.74

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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.