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Finding the Third Proportional to 816,985,098,942 and 1,787,872,987,159

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Solution

The third proportional to 816,985,098,942 and 1,787,872,987,159 is: 3,912,543,597,615.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,985,098,942 : 1,787,872,987,159 = 1,787,872,987,159 : x
  2. Step 2: Convert to fraction form
    816,985,098,942/1,787,872,987,159 = 1,787,872,987,159/x
  3. Step 3: Cross multiply
    816,985,098,942x = 1,787,872,987,159 × 1,787,872,987,159
  4. Step 4: Simplify right side
    816,985,098,942x = 3,196,489,818,212,845,865,664,512
  5. Step 5: Solve for x
    x = 3,196,489,818,212,845,865,664,512/816,985,098,942
  6. Step 6: Final answer
    x = 3,912,543,597,615.57

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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.