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Finding the Third Proportional to 3,058,723,881 and 4,723,204,967

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Solution

The third proportional to 3,058,723,881 and 4,723,204,967 is: 7,293,455,057.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058,723,881 : 4,723,204,967 = 4,723,204,967 : x
  2. Step 2: Convert to fraction form
    3,058,723,881/4,723,204,967 = 4,723,204,967/x
  3. Step 3: Cross multiply
    3,058,723,881x = 4,723,204,967 × 4,723,204,967
  4. Step 4: Simplify right side
    3,058,723,881x = 22,308,665,160,293,470,208
  5. Step 5: Solve for x
    x = 22,308,665,160,293,470,208/3,058,723,881
  6. Step 6: Final answer
    x = 7,293,455,057.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.