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Finding the Third Proportional to 41,674,027.50 and 46,656,283.50

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Solution

The third proportional to 41,674,027.50 and 46,656,283.50 is: 52,234,183.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,674,027.50 : 46,656,283.50 = 46,656,283.50 : x
  2. Step 2: Convert to fraction form
    41,674,027.50/46,656,283.50 = 46,656,283.50/x
  3. Step 3: Cross multiply
    41,674,027.50x = 46,656,283.50 × 46,656,283.50
  4. Step 4: Simplify right side
    41,674,027.50x = 2,176,808,790,032,372.25
  5. Step 5: Solve for x
    x = 2,176,808,790,032,372.25/41,674,027.50
  6. Step 6: Final answer
    x = 52,234,183.27

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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.