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Finding the Third Proportional to 50,158,536 and 70,633,827.75

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Solution

The third proportional to 50,158,536 and 70,633,827.75 is: 99,467,369.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,158,536 : 70,633,827.75 = 70,633,827.75 : x
  2. Step 2: Convert to fraction form
    50,158,536/70,633,827.75 = 70,633,827.75/x
  3. Step 3: Cross multiply
    50,158,536x = 70,633,827.75 × 70,633,827.75
  4. Step 4: Simplify right side
    50,158,536x = 4,989,137,622,616,670
  5. Step 5: Solve for x
    x = 4,989,137,622,616,670/50,158,536
  6. Step 6: Final answer
    x = 99,467,369.28

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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.