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Finding the Third Proportional to 6,826,237.50 and 14,665,509

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Solution

The third proportional to 6,826,237.50 and 14,665,509 is: 31,507,423.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826,237.50 : 14,665,509 = 14,665,509 : x
  2. Step 2: Convert to fraction form
    6,826,237.50/14,665,509 = 14,665,509/x
  3. Step 3: Cross multiply
    6,826,237.50x = 14,665,509 × 14,665,509
  4. Step 4: Simplify right side
    6,826,237.50x = 215,077,154,229,081
  5. Step 5: Solve for x
    x = 215,077,154,229,081/6,826,237.50
  6. Step 6: Final answer
    x = 31,507,423.27

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Why These Related Problems?

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