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Finding the Third Proportional to 40,832,828 and 89,083,764

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Solution

The third proportional to 40,832,828 and 89,083,764 is: 194,351,393.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,832,828 : 89,083,764 = 89,083,764 : x
  2. Step 2: Convert to fraction form
    40,832,828/89,083,764 = 89,083,764/x
  3. Step 3: Cross multiply
    40,832,828x = 89,083,764 × 89,083,764
  4. Step 4: Simplify right side
    40,832,828x = 7,935,917,008,407,696
  5. Step 5: Solve for x
    x = 7,935,917,008,407,696/40,832,828
  6. Step 6: Final answer
    x = 194,351,393.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.