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Finding the Third Proportional to 1,453,676,790 and 3,170,453,781

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Solution

The third proportional to 1,453,676,790 and 3,170,453,781 is: 6,914,726,331.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453,676,790 : 3,170,453,781 = 3,170,453,781 : x
  2. Step 2: Convert to fraction form
    1,453,676,790/3,170,453,781 = 3,170,453,781/x
  3. Step 3: Cross multiply
    1,453,676,790x = 3,170,453,781 × 3,170,453,781
  4. Step 4: Simplify right side
    1,453,676,790x = 10,051,777,177,457,195,008
  5. Step 5: Solve for x
    x = 10,051,777,177,457,195,008/1,453,676,790
  6. Step 6: Final answer
    x = 6,914,726,331.61

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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.