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Finding the Third Proportional to 126,956,512 and 257,482,748

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Solution

The third proportional to 126,956,512 and 257,482,748 is: 522,205,316.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,956,512 : 257,482,748 = 257,482,748 : x
  2. Step 2: Convert to fraction form
    126,956,512/257,482,748 = 257,482,748/x
  3. Step 3: Cross multiply
    126,956,512x = 257,482,748 × 257,482,748
  4. Step 4: Simplify right side
    126,956,512x = 66,297,365,517,631,504
  5. Step 5: Solve for x
    x = 66,297,365,517,631,504/126,956,512
  6. Step 6: Final answer
    x = 522,205,316.40

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.