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Finding the Third Proportional to 1,682,412,054 and 3,681,444,852

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Solution

The third proportional to 1,682,412,054 and 3,681,444,852 is: 8,055,717,483.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,412,054 : 3,681,444,852 = 3,681,444,852 : x
  2. Step 2: Convert to fraction form
    1,682,412,054/3,681,444,852 = 3,681,444,852/x
  3. Step 3: Cross multiply
    1,682,412,054x = 3,681,444,852 × 3,681,444,852
  4. Step 4: Simplify right side
    1,682,412,054x = 13,553,036,198,317,301,760
  5. Step 5: Solve for x
    x = 13,553,036,198,317,301,760/1,682,412,054
  6. Step 6: Final answer
    x = 8,055,717,483.77

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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.