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Finding the Third Proportional to 1,453,676,792 and 3,170,453,785

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Solution

The third proportional to 1,453,676,792 and 3,170,453,785 is: 6,914,726,339.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453,676,792 : 3,170,453,785 = 3,170,453,785 : x
  2. Step 2: Convert to fraction form
    1,453,676,792/3,170,453,785 = 3,170,453,785/x
  3. Step 3: Cross multiply
    1,453,676,792x = 3,170,453,785 × 3,170,453,785
  4. Step 4: Simplify right side
    1,453,676,792x = 10,051,777,202,820,827,136
  5. Step 5: Solve for x
    x = 10,051,777,202,820,827,136/1,453,676,792
  6. Step 6: Final answer
    x = 6,914,726,339.54

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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.