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Finding the Third Proportional to 6,871,701 and 14,653,410

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Solution

The third proportional to 6,871,701 and 14,653,410 is: 31,247,346.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871,701 : 14,653,410 = 14,653,410 : x
  2. Step 2: Convert to fraction form
    6,871,701/14,653,410 = 14,653,410/x
  3. Step 3: Cross multiply
    6,871,701x = 14,653,410 × 14,653,410
  4. Step 4: Simplify right side
    6,871,701x = 214,722,424,628,100
  5. Step 5: Solve for x
    x = 214,722,424,628,100/6,871,701
  6. Step 6: Final answer
    x = 31,247,346.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.