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Finding the Third Proportional to 33,101,762 and 51,664,707

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Solution

The third proportional to 33,101,762 and 51,664,707 is: 80,637,458.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,101,762 : 51,664,707 = 51,664,707 : x
  2. Step 2: Convert to fraction form
    33,101,762/51,664,707 = 51,664,707/x
  3. Step 3: Cross multiply
    33,101,762x = 51,664,707 × 51,664,707
  4. Step 4: Simplify right side
    33,101,762x = 2,669,241,949,395,849
  5. Step 5: Solve for x
    x = 2,669,241,949,395,849/33,101,762
  6. Step 6: Final answer
    x = 80,637,458.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.