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Finding the Third Proportional to 56,048,814.75 and 78,894,687.75

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Solution

The third proportional to 56,048,814.75 and 78,894,687.75 is: 111,052,691.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,048,814.75 : 78,894,687.75 = 78,894,687.75 : x
  2. Step 2: Convert to fraction form
    56,048,814.75/78,894,687.75 = 78,894,687.75/x
  3. Step 3: Cross multiply
    56,048,814.75x = 78,894,687.75 × 78,894,687.75
  4. Step 4: Simplify right side
    56,048,814.75x = 6,224,371,755,170,000
  5. Step 5: Solve for x
    x = 6,224,371,755,170,000/56,048,814.75
  6. Step 6: Final answer
    x = 111,052,691.89

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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.