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Finding the Third Proportional to 76,867,984,610 and 165,530,606,020

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Solution

The third proportional to 76,867,984,610 and 165,530,606,020 is: 356,460,256,742.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,867,984,610 : 165,530,606,020 = 165,530,606,020 : x
  2. Step 2: Convert to fraction form
    76,867,984,610/165,530,606,020 = 165,530,606,020/x
  3. Step 3: Cross multiply
    76,867,984,610x = 165,530,606,020 × 165,530,606,020
  4. Step 4: Simplify right side
    76,867,984,610x = 27,400,381,529,348,460,511,232
  5. Step 5: Solve for x
    x = 27,400,381,529,348,460,511,232/76,867,984,610
  6. Step 6: Final answer
    x = 356,460,256,742.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.