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Finding the Third Proportional to 55,759,972.50 and 78,383,668.50

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Solution

The third proportional to 55,759,972.50 and 78,383,668.50 is: 110,186,558.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,759,972.50 : 78,383,668.50 = 78,383,668.50 : x
  2. Step 2: Convert to fraction form
    55,759,972.50/78,383,668.50 = 78,383,668.50/x
  3. Step 3: Cross multiply
    55,759,972.50x = 78,383,668.50 × 78,383,668.50
  4. Step 4: Simplify right side
    55,759,972.50x = 6,143,999,487,517,892
  5. Step 5: Solve for x
    x = 6,143,999,487,517,892/55,759,972.50
  6. Step 6: Final answer
    x = 110,186,558.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.