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Finding the Third Proportional to 6,747,583.50 and 14,693,157

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Solution

The third proportional to 6,747,583.50 and 14,693,157 is: 31,994,989.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,747,583.50 : 14,693,157 = 14,693,157 : x
  2. Step 2: Convert to fraction form
    6,747,583.50/14,693,157 = 14,693,157/x
  3. Step 3: Cross multiply
    6,747,583.50x = 14,693,157 × 14,693,157
  4. Step 4: Simplify right side
    6,747,583.50x = 215,888,862,626,649
  5. Step 5: Solve for x
    x = 215,888,862,626,649/6,747,583.50
  6. Step 6: Final answer
    x = 31,994,989.41

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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.