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Finding the Third Proportional to 5,197,276,452 and 8,531,902,134

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Solution

The third proportional to 5,197,276,452 and 8,531,902,134 is: 14,006,057,729.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197,276,452 : 8,531,902,134 = 8,531,902,134 : x
  2. Step 2: Convert to fraction form
    5,197,276,452/8,531,902,134 = 8,531,902,134/x
  3. Step 3: Cross multiply
    5,197,276,452x = 8,531,902,134 × 8,531,902,134
  4. Step 4: Simplify right side
    5,197,276,452x = 72,793,354,024,153,751,552
  5. Step 5: Solve for x
    x = 72,793,354,024,153,751,552/5,197,276,452
  6. Step 6: Final answer
    x = 14,006,057,729.74

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.