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Finding the Third Proportional to 63,026,922 and 137,096,736

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Solution

The third proportional to 63,026,922 and 137,096,736 is: 298,214,071.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,026,922 : 137,096,736 = 137,096,736 : x
  2. Step 2: Convert to fraction form
    63,026,922/137,096,736 = 137,096,736/x
  3. Step 3: Cross multiply
    63,026,922x = 137,096,736 × 137,096,736
  4. Step 4: Simplify right side
    63,026,922x = 18,795,515,021,853,696
  5. Step 5: Solve for x
    x = 18,795,515,021,853,696/63,026,922
  6. Step 6: Final answer
    x = 298,214,071.47

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