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Finding the Third Proportional to 4,138,173.56 and 6,813,927.56

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Solution

The third proportional to 4,138,173.56 and 6,813,927.56 is: 11,219,831.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138,173.56 : 6,813,927.56 = 6,813,927.56 : x
  2. Step 2: Convert to fraction form
    4,138,173.56/6,813,927.56 = 6,813,927.56/x
  3. Step 3: Cross multiply
    4,138,173.56x = 6,813,927.56 × 6,813,927.56
  4. Step 4: Simplify right side
    4,138,173.56x = 46,429,608,826,997.19
  5. Step 5: Solve for x
    x = 46,429,608,826,997.19/4,138,173.56
  6. Step 6: Final answer
    x = 11,219,831.20

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.