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Finding the Third Proportional to 7,881,122,524 and 17,134,036,424

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Solution

The third proportional to 7,881,122,524 and 17,134,036,424 is: 37,250,430,162.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881,122,524 : 17,134,036,424 = 17,134,036,424 : x
  2. Step 2: Convert to fraction form
    7,881,122,524/17,134,036,424 = 17,134,036,424/x
  3. Step 3: Cross multiply
    7,881,122,524x = 17,134,036,424 × 17,134,036,424
  4. Step 4: Simplify right side
    7,881,122,524x = 293,575,204,178,958,712,832
  5. Step 5: Solve for x
    x = 293,575,204,178,958,712,832/7,881,122,524
  6. Step 6: Final answer
    x = 37,250,430,162.07

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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.