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Finding the Third Proportional to 5,296,351.50 and 11,228,364

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Solution

The third proportional to 5,296,351.50 and 11,228,364 is: 23,804,341.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296,351.50 : 11,228,364 = 11,228,364 : x
  2. Step 2: Convert to fraction form
    5,296,351.50/11,228,364 = 11,228,364/x
  3. Step 3: Cross multiply
    5,296,351.50x = 11,228,364 × 11,228,364
  4. Step 4: Simplify right side
    5,296,351.50x = 126,076,158,116,496
  5. Step 5: Solve for x
    x = 126,076,158,116,496/5,296,351.50
  6. Step 6: Final answer
    x = 23,804,341.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.