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Finding the Third Proportional to 3,610,685,310 and 7,862,373,672

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Solution

The third proportional to 3,610,685,310 and 7,862,373,672 is: 17,120,550,380.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610,685,310 : 7,862,373,672 = 7,862,373,672 : x
  2. Step 2: Convert to fraction form
    3,610,685,310/7,862,373,672 = 7,862,373,672/x
  3. Step 3: Cross multiply
    3,610,685,310x = 7,862,373,672 × 7,862,373,672
  4. Step 4: Simplify right side
    3,610,685,310x = 61,816,919,758,158,766,080
  5. Step 5: Solve for x
    x = 61,816,919,758,158,766,080/3,610,685,310
  6. Step 6: Final answer
    x = 17,120,550,380.55

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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.