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Finding the Third Proportional to 157,735,724,804 and 350,738,906,632

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Solution

The third proportional to 157,735,724,804 and 350,738,906,632 is: 779,898,027,401.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,735,724,804 : 350,738,906,632 = 350,738,906,632 : x
  2. Step 2: Convert to fraction form
    157,735,724,804/350,738,906,632 = 350,738,906,632/x
  3. Step 3: Cross multiply
    157,735,724,804x = 350,738,906,632 × 350,738,906,632
  4. Step 4: Simplify right side
    157,735,724,804x = 123,017,780,625,410,818,572,288
  5. Step 5: Solve for x
    x = 123,017,780,625,410,818,572,288/157,735,724,804
  6. Step 6: Final answer
    x = 779,898,027,401.66

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.