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Finding the Third Proportional to 33,180,898.50 and 69,010,497

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Solution

The third proportional to 33,180,898.50 and 69,010,497 is: 143,529,829.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,180,898.50 : 69,010,497 = 69,010,497 : x
  2. Step 2: Convert to fraction form
    33,180,898.50/69,010,497 = 69,010,497/x
  3. Step 3: Cross multiply
    33,180,898.50x = 69,010,497 × 69,010,497
  4. Step 4: Simplify right side
    33,180,898.50x = 4,762,448,696,187,009
  5. Step 5: Solve for x
    x = 4,762,448,696,187,009/33,180,898.50
  6. Step 6: Final answer
    x = 143,529,829.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.