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Finding the Third Proportional to 187,463,690,581 and 410,741,832,034

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Solution

The third proportional to 187,463,690,581 and 410,741,832,034 is: 899,954,823,570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,463,690,581 : 410,741,832,034 = 410,741,832,034 : x
  2. Step 2: Convert to fraction form
    187,463,690,581/410,741,832,034 = 410,741,832,034/x
  3. Step 3: Cross multiply
    187,463,690,581x = 410,741,832,034 × 410,741,832,034
  4. Step 4: Simplify right side
    187,463,690,581x = 168,708,852,582,646,670,163,968
  5. Step 5: Solve for x
    x = 168,708,852,582,646,670,163,968/187,463,690,581
  6. Step 6: Final answer
    x = 899,954,823,570.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.