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Finding the Third Proportional to 82,797,338 and 180,633,712

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Solution

The third proportional to 82,797,338 and 180,633,712 is: 394,077,137.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,797,338 : 180,633,712 = 180,633,712 : x
  2. Step 2: Convert to fraction form
    82,797,338/180,633,712 = 180,633,712/x
  3. Step 3: Cross multiply
    82,797,338x = 180,633,712 × 180,633,712
  4. Step 4: Simplify right side
    82,797,338x = 32,628,537,910,898,944
  5. Step 5: Solve for x
    x = 32,628,537,910,898,944/82,797,338
  6. Step 6: Final answer
    x = 394,077,137.01

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