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Finding the Third Proportional to 6,383,714 and 13,652,164

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Solution

The third proportional to 6,383,714 and 13,652,164 is: 29,196,417.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383,714 : 13,652,164 = 13,652,164 : x
  2. Step 2: Convert to fraction form
    6,383,714/13,652,164 = 13,652,164/x
  3. Step 3: Cross multiply
    6,383,714x = 13,652,164 × 13,652,164
  4. Step 4: Simplify right side
    6,383,714x = 186,381,581,882,896
  5. Step 5: Solve for x
    x = 186,381,581,882,896/6,383,714
  6. Step 6: Final answer
    x = 29,196,417.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.