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Finding the Third Proportional to 77,394,032 and 111,878,832

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Solution

The third proportional to 77,394,032 and 111,878,832 is: 161,729,176.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,394,032 : 111,878,832 = 111,878,832 : x
  2. Step 2: Convert to fraction form
    77,394,032/111,878,832 = 111,878,832/x
  3. Step 3: Cross multiply
    77,394,032x = 111,878,832 × 111,878,832
  4. Step 4: Simplify right side
    77,394,032x = 12,516,873,049,684,224
  5. Step 5: Solve for x
    x = 12,516,873,049,684,224/77,394,032
  6. Step 6: Final answer
    x = 161,729,176.35

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.