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Finding the Third Proportional to 2,569,338 and 5,581,426.50

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Solution

The third proportional to 2,569,338 and 5,581,426.50 is: 12,124,649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569,338 : 5,581,426.50 = 5,581,426.50 : x
  2. Step 2: Convert to fraction form
    2,569,338/5,581,426.50 = 5,581,426.50/x
  3. Step 3: Cross multiply
    2,569,338x = 5,581,426.50 × 5,581,426.50
  4. Step 4: Simplify right side
    2,569,338x = 31,152,321,774,902.25
  5. Step 5: Solve for x
    x = 31,152,321,774,902.25/2,569,338
  6. Step 6: Final answer
    x = 12,124,649.14

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.