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Finding the Third Proportional to 32,084,451 and 69,282,684

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Solution

The third proportional to 32,084,451 and 69,282,684 is: 149,607,992.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,084,451 : 69,282,684 = 69,282,684 : x
  2. Step 2: Convert to fraction form
    32,084,451/69,282,684 = 69,282,684/x
  3. Step 3: Cross multiply
    32,084,451x = 69,282,684 × 69,282,684
  4. Step 4: Simplify right side
    32,084,451x = 4,800,090,302,243,856
  5. Step 5: Solve for x
    x = 4,800,090,302,243,856/32,084,451
  6. Step 6: Final answer
    x = 149,607,992.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.