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Finding the Third Proportional to 159,803,747,292 and 347,739,398,653

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Solution

The third proportional to 159,803,747,292 and 347,739,398,653 is: 756,694,955,060.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,803,747,292 : 347,739,398,653 = 347,739,398,653 : x
  2. Step 2: Convert to fraction form
    159,803,747,292/347,739,398,653 = 347,739,398,653/x
  3. Step 3: Cross multiply
    159,803,747,292x = 347,739,398,653 × 347,739,398,653
  4. Step 4: Simplify right side
    159,803,747,292x = 120,922,689,375,550,054,596,608
  5. Step 5: Solve for x
    x = 120,922,689,375,550,054,596,608/159,803,747,292
  6. Step 6: Final answer
    x = 756,694,955,060.07

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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.