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Finding the Third Proportional to 436,333,743 and 941,892,597

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Solution

The third proportional to 436,333,743 and 941,892,597 is: 2,033,218,100.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,333,743 : 941,892,597 = 941,892,597 : x
  2. Step 2: Convert to fraction form
    436,333,743/941,892,597 = 941,892,597/x
  3. Step 3: Cross multiply
    436,333,743x = 941,892,597 × 941,892,597
  4. Step 4: Simplify right side
    436,333,743x = 887,161,664,283,404,416
  5. Step 5: Solve for x
    x = 887,161,664,283,404,416/436,333,743
  6. Step 6: Final answer
    x = 2,033,218,100.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.