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Finding the Third Proportional to 905,583,745,666 and 1,938,380,487,422

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Solution

The third proportional to 905,583,745,666 and 1,938,380,487,422 is: 4,149,057,369,901.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,583,745,666 : 1,938,380,487,422 = 1,938,380,487,422 : x
  2. Step 2: Convert to fraction form
    905,583,745,666/1,938,380,487,422 = 1,938,380,487,422/x
  3. Step 3: Cross multiply
    905,583,745,666x = 1,938,380,487,422 × 1,938,380,487,422
  4. Step 4: Simplify right side
    905,583,745,666x = 3,757,318,914,018,350,565,687,296
  5. Step 5: Solve for x
    x = 3,757,318,914,018,350,565,687,296/905,583,745,666
  6. Step 6: Final answer
    x = 4,149,057,369,901.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.