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Finding the Third Proportional to 3,097,974 and 6,747,114

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Solution

The third proportional to 3,097,974 and 6,747,114 is: 14,694,618.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,974 : 6,747,114 = 6,747,114 : x
  2. Step 2: Convert to fraction form
    3,097,974/6,747,114 = 6,747,114/x
  3. Step 3: Cross multiply
    3,097,974x = 6,747,114 × 6,747,114
  4. Step 4: Simplify right side
    3,097,974x = 45,523,547,328,996
  5. Step 5: Solve for x
    x = 45,523,547,328,996/3,097,974
  6. Step 6: Final answer
    x = 14,694,618.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.