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Finding the Third Proportional to 431,294,746.50 and 930,436,794

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Solution

The third proportional to 431,294,746.50 and 930,436,794 is: 2,007,241,299.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,294,746.50 : 930,436,794 = 930,436,794 : x
  2. Step 2: Convert to fraction form
    431,294,746.50/930,436,794 = 930,436,794/x
  3. Step 3: Cross multiply
    431,294,746.50x = 930,436,794 × 930,436,794
  4. Step 4: Simplify right side
    431,294,746.50x = 865,712,627,628,998,400
  5. Step 5: Solve for x
    x = 865,712,627,628,998,400/431,294,746.50
  6. Step 6: Final answer
    x = 2,007,241,299.96

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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.