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Finding the Third Proportional to 687,899,443,984.50 and 1,496,573,497,836.80

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Solution

The third proportional to 687,899,443,984.50 and 1,496,573,497,836.80 is: 3,255,900,632,008.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,899,443,984.50 : 1,496,573,497,836.80 = 1,496,573,497,836.80 : x
  2. Step 2: Convert to fraction form
    687,899,443,984.50/1,496,573,497,836.80 = 1,496,573,497,836.80/x
  3. Step 3: Cross multiply
    687,899,443,984.50x = 1,496,573,497,836.80 × 1,496,573,497,836.80
  4. Step 4: Simplify right side
    687,899,443,984.50x = 2,239,732,234,427,474,458,443,776
  5. Step 5: Solve for x
    x = 2,239,732,234,427,474,458,443,776/687,899,443,984.50
  6. Step 6: Final answer
    x = 3,255,900,632,008.57

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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.