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Finding the Third Proportional to 41,673,919.50 and 46,656,175.50

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Solution

The third proportional to 41,673,919.50 and 46,656,175.50 is: 52,234,076.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,673,919.50 : 46,656,175.50 = 46,656,175.50 : x
  2. Step 2: Convert to fraction form
    41,673,919.50/46,656,175.50 = 46,656,175.50/x
  3. Step 3: Cross multiply
    41,673,919.50x = 46,656,175.50 × 46,656,175.50
  4. Step 4: Simplify right side
    41,673,919.50x = 2,176,798,712,286,800.25
  5. Step 5: Solve for x
    x = 2,176,798,712,286,800.25/41,673,919.50
  6. Step 6: Final answer
    x = 52,234,076.81

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.