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Finding the Third Proportional to 6,337,500 and 13,685,256

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Solution

The third proportional to 6,337,500 and 13,685,256 is: 29,552,068.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337,500 : 13,685,256 = 13,685,256 : x
  2. Step 2: Convert to fraction form
    6,337,500/13,685,256 = 13,685,256/x
  3. Step 3: Cross multiply
    6,337,500x = 13,685,256 × 13,685,256
  4. Step 4: Simplify right side
    6,337,500x = 187,286,231,785,536
  5. Step 5: Solve for x
    x = 187,286,231,785,536/6,337,500
  6. Step 6: Final answer
    x = 29,552,068.13

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