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Finding the Third Proportional to 583,786,848 and 1,269,187,872

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Solution

The third proportional to 583,786,848 and 1,269,187,872 is: 2,759,291,100.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,786,848 : 1,269,187,872 = 1,269,187,872 : x
  2. Step 2: Convert to fraction form
    583,786,848/1,269,187,872 = 1,269,187,872/x
  3. Step 3: Cross multiply
    583,786,848x = 1,269,187,872 × 1,269,187,872
  4. Step 4: Simplify right side
    583,786,848x = 1,610,837,854,431,888,384
  5. Step 5: Solve for x
    x = 1,610,837,854,431,888,384/583,786,848
  6. Step 6: Final answer
    x = 2,759,291,100.77

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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.