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Finding the Third Proportional to 2,666,236.50 and 5,737,088.25

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Solution

The third proportional to 2,666,236.50 and 5,737,088.25 is: 12,344,809.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666,236.50 : 5,737,088.25 = 5,737,088.25 : x
  2. Step 2: Convert to fraction form
    2,666,236.50/5,737,088.25 = 5,737,088.25/x
  3. Step 3: Cross multiply
    2,666,236.50x = 5,737,088.25 × 5,737,088.25
  4. Step 4: Simplify right side
    2,666,236.50x = 32,914,181,588,288.06
  5. Step 5: Solve for x
    x = 32,914,181,588,288.06/2,666,236.50
  6. Step 6: Final answer
    x = 12,344,809.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.