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Finding the Third Proportional to 34,157,457 and 74,379,739.50

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Solution

The third proportional to 34,157,457 and 74,379,739.50 is: 161,965,969.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,157,457 : 74,379,739.50 = 74,379,739.50 : x
  2. Step 2: Convert to fraction form
    34,157,457/74,379,739.50 = 74,379,739.50/x
  3. Step 3: Cross multiply
    34,157,457x = 74,379,739.50 × 74,379,739.50
  4. Step 4: Simplify right side
    34,157,457x = 5,532,345,648,087,860
  5. Step 5: Solve for x
    x = 5,532,345,648,087,860/34,157,457
  6. Step 6: Final answer
    x = 161,965,969.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.