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Finding the Third Proportional to 6,826,138.59 and 14,665,309.97

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Solution

The third proportional to 6,826,138.59 and 14,665,309.97 is: 31,507,024.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826,138.59 : 14,665,309.97 = 14,665,309.97 : x
  2. Step 2: Convert to fraction form
    6,826,138.59/14,665,309.97 = 14,665,309.97/x
  3. Step 3: Cross multiply
    6,826,138.59x = 14,665,309.97 × 14,665,309.97
  4. Step 4: Simplify right side
    6,826,138.59x = 215,071,316,479,518.12
  5. Step 5: Solve for x
    x = 215,071,316,479,518.12/6,826,138.59
  6. Step 6: Final answer
    x = 31,507,024.58

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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.