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Finding the Third Proportional to 2,696,935.50 and 5,890,866.75

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Solution

The third proportional to 2,696,935.50 and 5,890,866.75 is: 12,867,312.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696,935.50 : 5,890,866.75 = 5,890,866.75 : x
  2. Step 2: Convert to fraction form
    2,696,935.50/5,890,866.75 = 5,890,866.75/x
  3. Step 3: Cross multiply
    2,696,935.50x = 5,890,866.75 × 5,890,866.75
  4. Step 4: Simplify right side
    2,696,935.50x = 34,702,311,066,255.56
  5. Step 5: Solve for x
    x = 34,702,311,066,255.56/2,696,935.50
  6. Step 6: Final answer
    x = 12,867,312.20

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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.