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Finding the Third Proportional to 2,774,892.94 and 6,180,408.84

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Solution

The third proportional to 2,774,892.94 and 6,180,408.84 is: 13,765,379.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774,892.94 : 6,180,408.84 = 6,180,408.84 : x
  2. Step 2: Convert to fraction form
    2,774,892.94/6,180,408.84 = 6,180,408.84/x
  3. Step 3: Cross multiply
    2,774,892.94x = 6,180,408.84 × 6,180,408.84
  4. Step 4: Simplify right side
    2,774,892.94x = 38,197,453,475,903.21
  5. Step 5: Solve for x
    x = 38,197,453,475,903.21/2,774,892.94
  6. Step 6: Final answer
    x = 13,765,379.18

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.