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Finding the Third Proportional to 71,810,977 and 113,728,391

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Solution

The third proportional to 71,810,977 and 113,728,391 is: 180,113,785.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,810,977 : 113,728,391 = 113,728,391 : x
  2. Step 2: Convert to fraction form
    71,810,977/113,728,391 = 113,728,391/x
  3. Step 3: Cross multiply
    71,810,977x = 113,728,391 × 113,728,391
  4. Step 4: Simplify right side
    71,810,977x = 12,934,146,919,448,880
  5. Step 5: Solve for x
    x = 12,934,146,919,448,880/71,810,977
  6. Step 6: Final answer
    x = 180,113,785.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.