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Finding the Third Proportional to 1,526,171,733 and 3,305,885,454

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Solution

The third proportional to 1,526,171,733 and 3,305,885,454 is: 7,160,975,661.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526,171,733 : 3,305,885,454 = 3,305,885,454 : x
  2. Step 2: Convert to fraction form
    1,526,171,733/3,305,885,454 = 3,305,885,454/x
  3. Step 3: Cross multiply
    1,526,171,733x = 3,305,885,454 × 3,305,885,454
  4. Step 4: Simplify right side
    1,526,171,733x = 10,928,878,634,968,786,944
  5. Step 5: Solve for x
    x = 10,928,878,634,968,786,944/1,526,171,733
  6. Step 6: Final answer
    x = 7,160,975,661.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.