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Finding the Third Proportional to 6,418,356 and 14,096,496

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Solution

The third proportional to 6,418,356 and 14,096,496 is: 30,959,828.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418,356 : 14,096,496 = 14,096,496 : x
  2. Step 2: Convert to fraction form
    6,418,356/14,096,496 = 14,096,496/x
  3. Step 3: Cross multiply
    6,418,356x = 14,096,496 × 14,096,496
  4. Step 4: Simplify right side
    6,418,356x = 198,711,199,478,016
  5. Step 5: Solve for x
    x = 198,711,199,478,016/6,418,356
  6. Step 6: Final answer
    x = 30,959,828.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.