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Finding the Third Proportional to 5,777,841 and 13,663,951.50

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Solution

The third proportional to 5,777,841 and 13,663,951.50 is: 32,313,725.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777,841 : 13,663,951.50 = 13,663,951.50 : x
  2. Step 2: Convert to fraction form
    5,777,841/13,663,951.50 = 13,663,951.50/x
  3. Step 3: Cross multiply
    5,777,841x = 13,663,951.50 × 13,663,951.50
  4. Step 4: Simplify right side
    5,777,841x = 186,703,570,594,352.25
  5. Step 5: Solve for x
    x = 186,703,570,594,352.25/5,777,841
  6. Step 6: Final answer
    x = 32,313,725.94

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.