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Finding the Third Proportional to 5,615,664.61 and 8,024,914.69

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Solution

The third proportional to 5,615,664.61 and 8,024,914.69 is: 11,467,788.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615,664.61 : 8,024,914.69 = 8,024,914.69 : x
  2. Step 2: Convert to fraction form
    5,615,664.61/8,024,914.69 = 8,024,914.69/x
  3. Step 3: Cross multiply
    5,615,664.61x = 8,024,914.69 × 8,024,914.69
  4. Step 4: Simplify right side
    5,615,664.61x = 64,399,255,741,653.22
  5. Step 5: Solve for x
    x = 64,399,255,741,653.22/5,615,664.61
  6. Step 6: Final answer
    x = 11,467,788.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.