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Finding the Third Proportional to 6,647,364 and 14,459,418

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Solution

The third proportional to 6,647,364 and 14,459,418 is: 31,452,282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647,364 : 14,459,418 = 14,459,418 : x
  2. Step 2: Convert to fraction form
    6,647,364/14,459,418 = 14,459,418/x
  3. Step 3: Cross multiply
    6,647,364x = 14,459,418 × 14,459,418
  4. Step 4: Simplify right side
    6,647,364x = 209,074,768,898,724
  5. Step 5: Solve for x
    x = 209,074,768,898,724/6,647,364
  6. Step 6: Final answer
    x = 31,452,282.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.