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Finding the Third Proportional to 6,337,093 and 13,684,283

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Solution

The third proportional to 6,337,093 and 13,684,283 is: 29,549,763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337,093 : 13,684,283 = 13,684,283 : x
  2. Step 2: Convert to fraction form
    6,337,093/13,684,283 = 13,684,283/x
  3. Step 3: Cross multiply
    6,337,093x = 13,684,283 × 13,684,283
  4. Step 4: Simplify right side
    6,337,093x = 187,259,601,224,089
  5. Step 5: Solve for x
    x = 187,259,601,224,089/6,337,093
  6. Step 6: Final answer
    x = 29,549,763.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.