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Finding the Third Proportional to 4,709,414 and 10,171,696

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Solution

The third proportional to 4,709,414 and 10,171,696 is: 21,969,484.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709,414 : 10,171,696 = 10,171,696 : x
  2. Step 2: Convert to fraction form
    4,709,414/10,171,696 = 10,171,696/x
  3. Step 3: Cross multiply
    4,709,414x = 10,171,696 × 10,171,696
  4. Step 4: Simplify right side
    4,709,414x = 103,463,399,516,416
  5. Step 5: Solve for x
    x = 103,463,399,516,416/4,709,414
  6. Step 6: Final answer
    x = 21,969,484.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.