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Finding the Third Proportional to 187,463,688,122 and 410,741,827,726

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Solution

The third proportional to 187,463,688,122 and 410,741,827,726 is: 899,954,816,497.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,463,688,122 : 410,741,827,726 = 410,741,827,726 : x
  2. Step 2: Convert to fraction form
    187,463,688,122/410,741,827,726 = 410,741,827,726/x
  3. Step 3: Cross multiply
    187,463,688,122x = 410,741,827,726 × 410,741,827,726
  4. Step 4: Simplify right side
    187,463,688,122x = 168,708,849,043,695,053,307,904
  5. Step 5: Solve for x
    x = 168,708,849,043,695,053,307,904/187,463,688,122
  6. Step 6: Final answer
    x = 899,954,816,497.05

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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.