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Finding the Third Proportional to 3,736,848 and 8,171,664

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Solution

The third proportional to 3,736,848 and 8,171,664 is: 17,869,630.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736,848 : 8,171,664 = 8,171,664 : x
  2. Step 2: Convert to fraction form
    3,736,848/8,171,664 = 8,171,664/x
  3. Step 3: Cross multiply
    3,736,848x = 8,171,664 × 8,171,664
  4. Step 4: Simplify right side
    3,736,848x = 66,776,092,528,896
  5. Step 5: Solve for x
    x = 66,776,092,528,896/3,736,848
  6. Step 6: Final answer
    x = 17,869,630.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.