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Finding the Third Proportional to 32,317,749 and 69,114,474

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Solution

The third proportional to 32,317,749 and 69,114,474 is: 147,807,649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,317,749 : 69,114,474 = 69,114,474 : x
  2. Step 2: Convert to fraction form
    32,317,749/69,114,474 = 69,114,474/x
  3. Step 3: Cross multiply
    32,317,749x = 69,114,474 × 69,114,474
  4. Step 4: Simplify right side
    32,317,749x = 4,776,810,516,296,676
  5. Step 5: Solve for x
    x = 4,776,810,516,296,676/32,317,749
  6. Step 6: Final answer
    x = 147,807,649.48

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.