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Finding the Third Proportional to 7,749,696 and 10,638,216

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Solution

The third proportional to 7,749,696 and 10,638,216 is: 14,603,365.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749,696 : 10,638,216 = 10,638,216 : x
  2. Step 2: Convert to fraction form
    7,749,696/10,638,216 = 10,638,216/x
  3. Step 3: Cross multiply
    7,749,696x = 10,638,216 × 10,638,216
  4. Step 4: Simplify right side
    7,749,696x = 113,171,639,662,656
  5. Step 5: Solve for x
    x = 113,171,639,662,656/7,749,696
  6. Step 6: Final answer
    x = 14,603,365.04

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.