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Finding the Third Proportional to 4,092,633 and 6,820,645.50

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Solution

The third proportional to 4,092,633 and 6,820,645.50 is: 11,367,060.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092,633 : 6,820,645.50 = 6,820,645.50 : x
  2. Step 2: Convert to fraction form
    4,092,633/6,820,645.50 = 6,820,645.50/x
  3. Step 3: Cross multiply
    4,092,633x = 6,820,645.50 × 6,820,645.50
  4. Step 4: Simplify right side
    4,092,633x = 46,521,205,036,670.25
  5. Step 5: Solve for x
    x = 46,521,205,036,670.25/4,092,633
  6. Step 6: Final answer
    x = 11,367,060.04

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.