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Finding the Third Proportional to 159,803,747,286 and 347,739,398,641

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Solution

The third proportional to 159,803,747,286 and 347,739,398,641 is: 756,694,955,036.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,803,747,286 : 347,739,398,641 = 347,739,398,641 : x
  2. Step 2: Convert to fraction form
    159,803,747,286/347,739,398,641 = 347,739,398,641/x
  3. Step 3: Cross multiply
    159,803,747,286x = 347,739,398,641 × 347,739,398,641
  4. Step 4: Simplify right side
    159,803,747,286x = 120,922,689,367,204,312,383,488
  5. Step 5: Solve for x
    x = 120,922,689,367,204,312,383,488/159,803,747,286
  6. Step 6: Final answer
    x = 756,694,955,036.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.