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Finding the Third Proportional to 6,419,122 and 14,097,764

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Solution

The third proportional to 6,419,122 and 14,097,764 is: 30,961,703.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419,122 : 14,097,764 = 14,097,764 : x
  2. Step 2: Convert to fraction form
    6,419,122/14,097,764 = 14,097,764/x
  3. Step 3: Cross multiply
    6,419,122x = 14,097,764 × 14,097,764
  4. Step 4: Simplify right side
    6,419,122x = 198,746,949,799,696
  5. Step 5: Solve for x
    x = 198,746,949,799,696/6,419,122
  6. Step 6: Final answer
    x = 30,961,703.14

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