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Finding the Third Proportional to 6,972,283.50 and 10,658,163

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Solution

The third proportional to 6,972,283.50 and 10,658,163 is: 16,292,573.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972,283.50 : 10,658,163 = 10,658,163 : x
  2. Step 2: Convert to fraction form
    6,972,283.50/10,658,163 = 10,658,163/x
  3. Step 3: Cross multiply
    6,972,283.50x = 10,658,163 × 10,658,163
  4. Step 4: Simplify right side
    6,972,283.50x = 113,596,438,534,569
  5. Step 5: Solve for x
    x = 113,596,438,534,569/6,972,283.50
  6. Step 6: Final answer
    x = 16,292,573.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.