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Finding the Third Proportional to 2,405,336.77 and 5,186,649.59

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Solution

The third proportional to 2,405,336.77 and 5,186,649.59 is: 11,184,019.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405,336.77 : 5,186,649.59 = 5,186,649.59 : x
  2. Step 2: Convert to fraction form
    2,405,336.77/5,186,649.59 = 5,186,649.59/x
  3. Step 3: Cross multiply
    2,405,336.77x = 5,186,649.59 × 5,186,649.59
  4. Step 4: Simplify right side
    2,405,336.77x = 26,901,333,927,305.64
  5. Step 5: Solve for x
    x = 26,901,333,927,305.64/2,405,336.77
  6. Step 6: Final answer
    x = 11,184,019.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.