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Finding the Third Proportional to 23,876,734.50 and 51,160,329

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Solution

The third proportional to 23,876,734.50 and 51,160,329 is: 109,620,486.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,876,734.50 : 51,160,329 = 51,160,329 : x
  2. Step 2: Convert to fraction form
    23,876,734.50/51,160,329 = 51,160,329/x
  3. Step 3: Cross multiply
    23,876,734.50x = 51,160,329 × 51,160,329
  4. Step 4: Simplify right side
    23,876,734.50x = 2,617,379,263,388,241
  5. Step 5: Solve for x
    x = 2,617,379,263,388,241/23,876,734.50
  6. Step 6: Final answer
    x = 109,620,486.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.