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Finding the Third Proportional to 3,183,426.98 and 6,871,230.84

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Solution

The third proportional to 3,183,426.98 and 6,871,230.84 is: 14,831,128.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183,426.98 : 6,871,230.84 = 6,871,230.84 : x
  2. Step 2: Convert to fraction form
    3,183,426.98/6,871,230.84 = 6,871,230.84/x
  3. Step 3: Cross multiply
    3,183,426.98x = 6,871,230.84 × 6,871,230.84
  4. Step 4: Simplify right side
    3,183,426.98x = 47,213,813,308,101.34
  5. Step 5: Solve for x
    x = 47,213,813,308,101.34/3,183,426.98
  6. Step 6: Final answer
    x = 14,831,128.07

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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.