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Finding the Third Proportional to 5,490,733,273 and 7,732,162,367

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Solution

The third proportional to 5,490,733,273 and 7,732,162,367 is: 10,888,588,444.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490,733,273 : 7,732,162,367 = 7,732,162,367 : x
  2. Step 2: Convert to fraction form
    5,490,733,273/7,732,162,367 = 7,732,162,367/x
  3. Step 3: Cross multiply
    5,490,733,273x = 7,732,162,367 × 7,732,162,367
  4. Step 4: Simplify right side
    5,490,733,273x = 59,786,334,869,651,046,400
  5. Step 5: Solve for x
    x = 59,786,334,869,651,046,400/5,490,733,273
  6. Step 6: Final answer
    x = 10,888,588,444.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.