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Finding the Third Proportional to 33,238,964 and 51,059,120

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Solution

The third proportional to 33,238,964 and 51,059,120 is: 78,433,062.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,238,964 : 51,059,120 = 51,059,120 : x
  2. Step 2: Convert to fraction form
    33,238,964/51,059,120 = 51,059,120/x
  3. Step 3: Cross multiply
    33,238,964x = 51,059,120 × 51,059,120
  4. Step 4: Simplify right side
    33,238,964x = 2,607,033,735,174,400
  5. Step 5: Solve for x
    x = 2,607,033,735,174,400/33,238,964
  6. Step 6: Final answer
    x = 78,433,062.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.