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Finding the Third Proportional to 7,179,586,972 and 11,028,724,642

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Solution

The third proportional to 7,179,586,972 and 11,028,724,642 is: 16,941,471,383.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,179,586,972 : 11,028,724,642 = 11,028,724,642 : x
  2. Step 2: Convert to fraction form
    7,179,586,972/11,028,724,642 = 11,028,724,642/x
  3. Step 3: Cross multiply
    7,179,586,972x = 11,028,724,642 × 11,028,724,642
  4. Step 4: Simplify right side
    7,179,586,972x = 121,632,767,229,058,023,424
  5. Step 5: Solve for x
    x = 121,632,767,229,058,023,424/7,179,586,972
  6. Step 6: Final answer
    x = 16,941,471,383.16

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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.