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Finding the Third Proportional to 37,949,782 and 83,212,892

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Solution

The third proportional to 37,949,782 and 83,212,892 is: 182,461,796.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,949,782 : 83,212,892 = 83,212,892 : x
  2. Step 2: Convert to fraction form
    37,949,782/83,212,892 = 83,212,892/x
  3. Step 3: Cross multiply
    37,949,782x = 83,212,892 × 83,212,892
  4. Step 4: Simplify right side
    37,949,782x = 6,924,385,395,003,664
  5. Step 5: Solve for x
    x = 6,924,385,395,003,664/37,949,782
  6. Step 6: Final answer
    x = 182,461,796.36

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.