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Finding the Third Proportional to 51,382,582.50 and 121,253,694

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Solution

The third proportional to 51,382,582.50 and 121,253,694 is: 286,137,005.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,382,582.50 : 121,253,694 = 121,253,694 : x
  2. Step 2: Convert to fraction form
    51,382,582.50/121,253,694 = 121,253,694/x
  3. Step 3: Cross multiply
    51,382,582.50x = 121,253,694 × 121,253,694
  4. Step 4: Simplify right side
    51,382,582.50x = 14,702,458,308,645,636
  5. Step 5: Solve for x
    x = 14,702,458,308,645,636/51,382,582.50
  6. Step 6: Final answer
    x = 286,137,005.84

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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.