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Finding the Third Proportional to 11,666,786.91 and 16,806,400.17

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Solution

The third proportional to 11,666,786.91 and 16,806,400.17 is: 24,210,186.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666,786.91 : 16,806,400.17 = 16,806,400.17 : x
  2. Step 2: Convert to fraction form
    11,666,786.91/16,806,400.17 = 16,806,400.17/x
  3. Step 3: Cross multiply
    11,666,786.91x = 16,806,400.17 × 16,806,400.17
  4. Step 4: Simplify right side
    11,666,786.91x = 282,455,086,737,200
  5. Step 5: Solve for x
    x = 282,455,086,737,200/11,666,786.91
  6. Step 6: Final answer
    x = 24,210,186.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.