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Finding the Third Proportional to 41,674,045.50 and 46,656,301.50

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Solution

The third proportional to 41,674,045.50 and 46,656,301.50 is: 52,234,201.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,674,045.50 : 46,656,301.50 = 46,656,301.50 : x
  2. Step 2: Convert to fraction form
    41,674,045.50/46,656,301.50 = 46,656,301.50/x
  3. Step 3: Cross multiply
    41,674,045.50x = 46,656,301.50 × 46,656,301.50
  4. Step 4: Simplify right side
    41,674,045.50x = 2,176,810,469,658,902.25
  5. Step 5: Solve for x
    x = 2,176,810,469,658,902.25/41,674,045.50
  6. Step 6: Final answer
    x = 52,234,201.01

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