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Finding the Third Proportional to 6,589,960.66 and 14,313,385.34

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Solution

The third proportional to 6,589,960.66 and 14,313,385.34 is: 31,088,652.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589,960.66 : 14,313,385.34 = 14,313,385.34 : x
  2. Step 2: Convert to fraction form
    6,589,960.66/14,313,385.34 = 14,313,385.34/x
  3. Step 3: Cross multiply
    6,589,960.66x = 14,313,385.34 × 14,313,385.34
  4. Step 4: Simplify right side
    6,589,960.66x = 204,872,999,775,044.94
  5. Step 5: Solve for x
    x = 204,872,999,775,044.94/6,589,960.66
  6. Step 6: Final answer
    x = 31,088,652.91

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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.