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Finding the Third Proportional to 41,748,219 and 67,110,043.50

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Solution

The third proportional to 41,748,219 and 67,110,043.50 is: 107,879,043.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,748,219 : 67,110,043.50 = 67,110,043.50 : x
  2. Step 2: Convert to fraction form
    41,748,219/67,110,043.50 = 67,110,043.50/x
  3. Step 3: Cross multiply
    41,748,219x = 67,110,043.50 × 67,110,043.50
  4. Step 4: Simplify right side
    41,748,219x = 4,503,757,938,571,892
  5. Step 5: Solve for x
    x = 4,503,757,938,571,892/41,748,219
  6. Step 6: Final answer
    x = 107,879,043.62

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.