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Finding the Third Proportional to 32,557,150 and 70,775,229

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Solution

The third proportional to 32,557,150 and 70,775,229 is: 153,856,619.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,557,150 : 70,775,229 = 70,775,229 : x
  2. Step 2: Convert to fraction form
    32,557,150/70,775,229 = 70,775,229/x
  3. Step 3: Cross multiply
    32,557,150x = 70,775,229 × 70,775,229
  4. Step 4: Simplify right side
    32,557,150x = 5,009,133,040,002,441
  5. Step 5: Solve for x
    x = 5,009,133,040,002,441/32,557,150
  6. Step 6: Final answer
    x = 153,856,619.51

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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.