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Finding the Third Proportional to 6,593,774 and 13,896,028

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Solution

The third proportional to 6,593,774 and 13,896,028 is: 29,285,139.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593,774 : 13,896,028 = 13,896,028 : x
  2. Step 2: Convert to fraction form
    6,593,774/13,896,028 = 13,896,028/x
  3. Step 3: Cross multiply
    6,593,774x = 13,896,028 × 13,896,028
  4. Step 4: Simplify right side
    6,593,774x = 193,099,594,176,784
  5. Step 5: Solve for x
    x = 193,099,594,176,784/6,593,774
  6. Step 6: Final answer
    x = 29,285,139.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.