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Finding the Third Proportional to 4,543,347.06 and 6,818,346.69

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Solution

The third proportional to 4,543,347.06 and 6,818,346.69 is: 10,232,511.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543,347.06 : 6,818,346.69 = 6,818,346.69 : x
  2. Step 2: Convert to fraction form
    4,543,347.06/6,818,346.69 = 6,818,346.69/x
  3. Step 3: Cross multiply
    4,543,347.06x = 6,818,346.69 × 6,818,346.69
  4. Step 4: Simplify right side
    4,543,347.06x = 46,489,851,550,942.22
  5. Step 5: Solve for x
    x = 46,489,851,550,942.22/4,543,347.06
  6. Step 6: Final answer
    x = 10,232,511.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.