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Finding the Third Proportional to 187,463,688,120 and 410,741,827,722

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Solution

The third proportional to 187,463,688,120 and 410,741,827,722 is: 899,954,816,489.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,463,688,120 : 410,741,827,722 = 410,741,827,722 : x
  2. Step 2: Convert to fraction form
    187,463,688,120/410,741,827,722 = 410,741,827,722/x
  3. Step 3: Cross multiply
    187,463,688,120x = 410,741,827,722 × 410,741,827,722
  4. Step 4: Simplify right side
    187,463,688,120x = 168,708,849,040,409,134,891,008
  5. Step 5: Solve for x
    x = 168,708,849,040,409,134,891,008/187,463,688,120
  6. Step 6: Final answer
    x = 899,954,816,489.13

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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.