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Finding the Third Proportional to 883,975,414.50 and 1,924,892,019

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Solution

The third proportional to 883,975,414.50 and 1,924,892,019 is: 4,191,529,791.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,975,414.50 : 1,924,892,019 = 1,924,892,019 : x
  2. Step 2: Convert to fraction form
    883,975,414.50/1,924,892,019 = 1,924,892,019/x
  3. Step 3: Cross multiply
    883,975,414.50x = 1,924,892,019 × 1,924,892,019
  4. Step 4: Simplify right side
    883,975,414.50x = 3,705,209,284,809,896,448
  5. Step 5: Solve for x
    x = 3,705,209,284,809,896,448/883,975,414.50
  6. Step 6: Final answer
    x = 4,191,529,791.48

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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.