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Finding the Third Proportional to 6,353,600 and 13,702,464

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Solution

The third proportional to 6,353,600 and 13,702,464 is: 29,551,359.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353,600 : 13,702,464 = 13,702,464 : x
  2. Step 2: Convert to fraction form
    6,353,600/13,702,464 = 13,702,464/x
  3. Step 3: Cross multiply
    6,353,600x = 13,702,464 × 13,702,464
  4. Step 4: Simplify right side
    6,353,600x = 187,757,519,671,296
  5. Step 5: Solve for x
    x = 187,757,519,671,296/6,353,600
  6. Step 6: Final answer
    x = 29,551,359.81

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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.