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Finding the Third Proportional to 34,603,776 and 81,685,464

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Solution

The third proportional to 34,603,776 and 81,685,464 is: 192,826,211.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,603,776 : 81,685,464 = 81,685,464 : x
  2. Step 2: Convert to fraction form
    34,603,776/81,685,464 = 81,685,464/x
  3. Step 3: Cross multiply
    34,603,776x = 81,685,464 × 81,685,464
  4. Step 4: Simplify right side
    34,603,776x = 6,672,515,028,895,296
  5. Step 5: Solve for x
    x = 6,672,515,028,895,296/34,603,776
  6. Step 6: Final answer
    x = 192,826,211.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.