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Finding the Third Proportional to 50,769,085.50 and 77,344,004.25

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Solution

The third proportional to 50,769,085.50 and 77,344,004.25 is: 117,829,480.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,769,085.50 : 77,344,004.25 = 77,344,004.25 : x
  2. Step 2: Convert to fraction form
    50,769,085.50/77,344,004.25 = 77,344,004.25/x
  3. Step 3: Cross multiply
    50,769,085.50x = 77,344,004.25 × 77,344,004.25
  4. Step 4: Simplify right side
    50,769,085.50x = 5,982,094,993,424,018
  5. Step 5: Solve for x
    x = 5,982,094,993,424,018/50,769,085.50
  6. Step 6: Final answer
    x = 117,829,480.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.