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Finding the Third Proportional to 33,527,208 and 51,265,243.50

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Solution

The third proportional to 33,527,208 and 51,265,243.50 is: 78,387,833.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,527,208 : 51,265,243.50 = 51,265,243.50 : x
  2. Step 2: Convert to fraction form
    33,527,208/51,265,243.50 = 51,265,243.50/x
  3. Step 3: Cross multiply
    33,527,208x = 51,265,243.50 × 51,265,243.50
  4. Step 4: Simplify right side
    33,527,208x = 2,628,125,191,114,292
  5. Step 5: Solve for x
    x = 2,628,125,191,114,292/33,527,208
  6. Step 6: Final answer
    x = 78,387,833.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.