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Finding the Third Proportional to 33,166,989 and 71,766,729

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Solution

The third proportional to 33,166,989 and 71,766,729 is: 155,288,844.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,166,989 : 71,766,729 = 71,766,729 : x
  2. Step 2: Convert to fraction form
    33,166,989/71,766,729 = 71,766,729/x
  3. Step 3: Cross multiply
    33,166,989x = 71,766,729 × 71,766,729
  4. Step 4: Simplify right side
    33,166,989x = 5,150,463,391,359,441
  5. Step 5: Solve for x
    x = 5,150,463,391,359,441/33,166,989
  6. Step 6: Final answer
    x = 155,288,844.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.