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Finding the Third Proportional to 6,825,751.88 and 14,623,048.13

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Solution

The third proportional to 6,825,751.88 and 14,623,048.13 is: 31,327,469.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825,751.88 : 14,623,048.13 = 14,623,048.13 : x
  2. Step 2: Convert to fraction form
    6,825,751.88/14,623,048.13 = 14,623,048.13/x
  3. Step 3: Cross multiply
    6,825,751.88x = 14,623,048.13 × 14,623,048.13
  4. Step 4: Simplify right side
    6,825,751.88x = 213,833,536,466,066
  5. Step 5: Solve for x
    x = 213,833,536,466,066/6,825,751.88
  6. Step 6: Final answer
    x = 31,327,469.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.