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Finding the Third Proportional to 33,411,996 and 53,165,578.50

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Solution

The third proportional to 33,411,996 and 53,165,578.50 is: 84,597,721.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,411,996 : 53,165,578.50 = 53,165,578.50 : x
  2. Step 2: Convert to fraction form
    33,411,996/53,165,578.50 = 53,165,578.50/x
  3. Step 3: Cross multiply
    33,411,996x = 53,165,578.50 × 53,165,578.50
  4. Step 4: Simplify right side
    33,411,996x = 2,826,578,737,239,662
  5. Step 5: Solve for x
    x = 2,826,578,737,239,662/33,411,996
  6. Step 6: Final answer
    x = 84,597,721.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.