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Finding the Third Proportional to 6,746,600 and 14,570,418

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Solution

The third proportional to 6,746,600 and 14,570,418 is: 31,467,269.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746,600 : 14,570,418 = 14,570,418 : x
  2. Step 2: Convert to fraction form
    6,746,600/14,570,418 = 14,570,418/x
  3. Step 3: Cross multiply
    6,746,600x = 14,570,418 × 14,570,418
  4. Step 4: Simplify right side
    6,746,600x = 212,297,080,694,724
  5. Step 5: Solve for x
    x = 212,297,080,694,724/6,746,600
  6. Step 6: Final answer
    x = 31,467,269.54

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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.