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Finding the Third Proportional to 444,207,958,978.50 and 676,720,098,915.75

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Solution

The third proportional to 444,207,958,978.50 and 676,720,098,915.75 is: 1,030,936,260,866.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,207,958,978.50 : 676,720,098,915.75 = 676,720,098,915.75 : x
  2. Step 2: Convert to fraction form
    444,207,958,978.50/676,720,098,915.75 = 676,720,098,915.75/x
  3. Step 3: Cross multiply
    444,207,958,978.50x = 676,720,098,915.75 × 676,720,098,915.75
  4. Step 4: Simplify right side
    444,207,958,978.50x = 457,950,092,276,542,474,289,152
  5. Step 5: Solve for x
    x = 457,950,092,276,542,474,289,152/444,207,958,978.50
  6. Step 6: Final answer
    x = 1,030,936,260,866.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.