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Finding the Third Proportional to 6,302,404 and 13,745,480

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Solution

The third proportional to 6,302,404 and 13,745,480 is: 29,978,754.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302,404 : 13,745,480 = 13,745,480 : x
  2. Step 2: Convert to fraction form
    6,302,404/13,745,480 = 13,745,480/x
  3. Step 3: Cross multiply
    6,302,404x = 13,745,480 × 13,745,480
  4. Step 4: Simplify right side
    6,302,404x = 188,938,220,430,400
  5. Step 5: Solve for x
    x = 188,938,220,430,400/6,302,404
  6. Step 6: Final answer
    x = 29,978,754.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.