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Finding the Third Proportional to 32,368,114 and 69,353,120

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Solution

The third proportional to 32,368,114 and 69,353,120 is: 148,598,563.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,368,114 : 69,353,120 = 69,353,120 : x
  2. Step 2: Convert to fraction form
    32,368,114/69,353,120 = 69,353,120/x
  3. Step 3: Cross multiply
    32,368,114x = 69,353,120 × 69,353,120
  4. Step 4: Simplify right side
    32,368,114x = 4,809,855,253,734,400
  5. Step 5: Solve for x
    x = 4,809,855,253,734,400/32,368,114
  6. Step 6: Final answer
    x = 148,598,563.81

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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.