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Finding the Third Proportional to 6,680,628 and 14,638,041

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Solution

The third proportional to 6,680,628 and 14,638,041 is: 32,073,667.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680,628 : 14,638,041 = 14,638,041 : x
  2. Step 2: Convert to fraction form
    6,680,628/14,638,041 = 14,638,041/x
  3. Step 3: Cross multiply
    6,680,628x = 14,638,041 × 14,638,041
  4. Step 4: Simplify right side
    6,680,628x = 214,272,244,317,681
  5. Step 5: Solve for x
    x = 214,272,244,317,681/6,680,628
  6. Step 6: Final answer
    x = 32,073,667.97

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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.