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Finding the Third Proportional to 443,104,432 and 969,598,686

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Solution

The third proportional to 443,104,432 and 969,598,686 is: 2,121,670,522.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,104,432 : 969,598,686 = 969,598,686 : x
  2. Step 2: Convert to fraction form
    443,104,432/969,598,686 = 969,598,686/x
  3. Step 3: Cross multiply
    443,104,432x = 969,598,686 × 969,598,686
  4. Step 4: Simplify right side
    443,104,432x = 940,121,611,892,926,592
  5. Step 5: Solve for x
    x = 940,121,611,892,926,592/443,104,432
  6. Step 6: Final answer
    x = 2,121,670,522.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.