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Finding the Third Proportional to 7,271,101.69 and 11,057,737.78

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Solution

The third proportional to 7,271,101.69 and 11,057,737.78 is: 16,816,373.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,271,101.69 : 11,057,737.78 = 11,057,737.78 : x
  2. Step 2: Convert to fraction form
    7,271,101.69/11,057,737.78 = 11,057,737.78/x
  3. Step 3: Cross multiply
    7,271,101.69x = 11,057,737.78 × 11,057,737.78
  4. Step 4: Simplify right side
    7,271,101.69x = 122,273,564,838,883.67
  5. Step 5: Solve for x
    x = 122,273,564,838,883.67/7,271,101.69
  6. Step 6: Final answer
    x = 16,816,373.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.