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Finding the Third Proportional to 6,419,088 and 14,097,696

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Solution

The third proportional to 6,419,088 and 14,097,696 is: 30,961,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419,088 : 14,097,696 = 14,097,696 : x
  2. Step 2: Convert to fraction form
    6,419,088/14,097,696 = 14,097,696/x
  3. Step 3: Cross multiply
    6,419,088x = 14,097,696 × 14,097,696
  4. Step 4: Simplify right side
    6,419,088x = 198,745,032,508,416
  5. Step 5: Solve for x
    x = 198,745,032,508,416/6,419,088
  6. Step 6: Final answer
    x = 30,961,568.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.