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Finding the Third Proportional to 422,092,230.19 and 916,846,077.38

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Solution

The third proportional to 422,092,230.19 and 916,846,077.38 is: 1,991,523,817.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,092,230.19 : 916,846,077.38 = 916,846,077.38 : x
  2. Step 2: Convert to fraction form
    422,092,230.19/916,846,077.38 = 916,846,077.38/x
  3. Step 3: Cross multiply
    422,092,230.19x = 916,846,077.38 × 916,846,077.38
  4. Step 4: Simplify right side
    422,092,230.19x = 840,606,729,597,924,480
  5. Step 5: Solve for x
    x = 840,606,729,597,924,480/422,092,230.19
  6. Step 6: Final answer
    x = 1,991,523,817.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.