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Finding the Third Proportional to 34,032,780 and 51,454,368

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Solution

The third proportional to 34,032,780 and 51,454,368 is: 77,794,173.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,032,780 : 51,454,368 = 51,454,368 : x
  2. Step 2: Convert to fraction form
    34,032,780/51,454,368 = 51,454,368/x
  3. Step 3: Cross multiply
    34,032,780x = 51,454,368 × 51,454,368
  4. Step 4: Simplify right side
    34,032,780x = 2,647,551,986,279,424
  5. Step 5: Solve for x
    x = 2,647,551,986,279,424/34,032,780
  6. Step 6: Final answer
    x = 77,794,173.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.