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Finding the Third Proportional to 905,583,745,635 and 1,938,380,487,366

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Solution

The third proportional to 905,583,745,635 and 1,938,380,487,366 is: 4,149,057,369,803.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,583,745,635 : 1,938,380,487,366 = 1,938,380,487,366 : x
  2. Step 2: Convert to fraction form
    905,583,745,635/1,938,380,487,366 = 1,938,380,487,366/x
  3. Step 3: Cross multiply
    905,583,745,635x = 1,938,380,487,366 × 1,938,380,487,366
  4. Step 4: Simplify right side
    905,583,745,635x = 3,757,318,913,801,251,780,034,560
  5. Step 5: Solve for x
    x = 3,757,318,913,801,251,780,034,560/905,583,745,635
  6. Step 6: Final answer
    x = 4,149,057,369,803.61

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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.