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Finding the Third Proportional to 3,460,896.50 and 7,544,541.25

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Solution

The third proportional to 3,460,896.50 and 7,544,541.25 is: 16,446,635.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460,896.50 : 7,544,541.25 = 7,544,541.25 : x
  2. Step 2: Convert to fraction form
    3,460,896.50/7,544,541.25 = 7,544,541.25/x
  3. Step 3: Cross multiply
    3,460,896.50x = 7,544,541.25 × 7,544,541.25
  4. Step 4: Simplify right side
    3,460,896.50x = 56,920,102,672,951.56
  5. Step 5: Solve for x
    x = 56,920,102,672,951.56/3,460,896.50
  6. Step 6: Final answer
    x = 16,446,635.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.