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Finding the Third Proportional to 952,247,134,440 and 2,055,976,093,584

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Solution

The third proportional to 952,247,134,440 and 2,055,976,093,584 is: 4,439,013,302,859.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,247,134,440 : 2,055,976,093,584 = 2,055,976,093,584 : x
  2. Step 2: Convert to fraction form
    952,247,134,440/2,055,976,093,584 = 2,055,976,093,584/x
  3. Step 3: Cross multiply
    952,247,134,440x = 2,055,976,093,584 × 2,055,976,093,584
  4. Step 4: Simplify right side
    952,247,134,440x = 4,227,037,697,388,924,895,232,000
  5. Step 5: Solve for x
    x = 4,227,037,697,388,924,895,232,000/952,247,134,440
  6. Step 6: Final answer
    x = 4,439,013,302,859.42

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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.