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Finding the Third Proportional to 77,858,529 and 183,792,366

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Solution

The third proportional to 77,858,529 and 183,792,366 is: 433,859,131.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,858,529 : 183,792,366 = 183,792,366 : x
  2. Step 2: Convert to fraction form
    77,858,529/183,792,366 = 183,792,366/x
  3. Step 3: Cross multiply
    77,858,529x = 183,792,366 × 183,792,366
  4. Step 4: Simplify right side
    77,858,529x = 33,779,633,799,877,956
  5. Step 5: Solve for x
    x = 33,779,633,799,877,956/77,858,529
  6. Step 6: Final answer
    x = 433,859,131.86

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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.