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Finding the Third Proportional to 13,197,006 and 27,600,642

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Solution

The third proportional to 13,197,006 and 27,600,642 is: 57,724,868.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197,006 : 27,600,642 = 27,600,642 : x
  2. Step 2: Convert to fraction form
    13,197,006/27,600,642 = 27,600,642/x
  3. Step 3: Cross multiply
    13,197,006x = 27,600,642 × 27,600,642
  4. Step 4: Simplify right side
    13,197,006x = 761,795,438,812,164
  5. Step 5: Solve for x
    x = 761,795,438,812,164/13,197,006
  6. Step 6: Final answer
    x = 57,724,868.72

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.