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Finding the Third Proportional to 39,290,578.50 and 82,653,628.50

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Solution

The third proportional to 39,290,578.50 and 82,653,628.50 is: 173,874,311.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,290,578.50 : 82,653,628.50 = 82,653,628.50 : x
  2. Step 2: Convert to fraction form
    39,290,578.50/82,653,628.50 = 82,653,628.50/x
  3. Step 3: Cross multiply
    39,290,578.50x = 82,653,628.50 × 82,653,628.50
  4. Step 4: Simplify right side
    39,290,578.50x = 6,831,622,304,216,012
  5. Step 5: Solve for x
    x = 6,831,622,304,216,012/39,290,578.50
  6. Step 6: Final answer
    x = 173,874,311.99

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.