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Finding the Third Proportional to 33,658,933 and 73,702,291

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Solution

The third proportional to 33,658,933 and 73,702,291 is: 161,384,429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,658,933 : 73,702,291 = 73,702,291 : x
  2. Step 2: Convert to fraction form
    33,658,933/73,702,291 = 73,702,291/x
  3. Step 3: Cross multiply
    33,658,933x = 73,702,291 × 73,702,291
  4. Step 4: Simplify right side
    33,658,933x = 5,432,027,698,648,681
  5. Step 5: Solve for x
    x = 5,432,027,698,648,681/33,658,933
  6. Step 6: Final answer
    x = 161,384,429.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.