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Finding the Third Proportional to 15,340,857 and 34,086,961.50

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Solution

The third proportional to 15,340,857 and 34,086,961.50 is: 75,740,289.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,340,857 : 34,086,961.50 = 34,086,961.50 : x
  2. Step 2: Convert to fraction form
    15,340,857/34,086,961.50 = 34,086,961.50/x
  3. Step 3: Cross multiply
    15,340,857x = 34,086,961.50 × 34,086,961.50
  4. Step 4: Simplify right side
    15,340,857x = 1,161,920,944,302,482.25
  5. Step 5: Solve for x
    x = 1,161,920,944,302,482.25/15,340,857
  6. Step 6: Final answer
    x = 75,740,289.11

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.