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Finding the Third Proportional to 3,097,764 and 6,670,107

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Solution

The third proportional to 3,097,764 and 6,670,107 is: 14,362,077.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,764 : 6,670,107 = 6,670,107 : x
  2. Step 2: Convert to fraction form
    3,097,764/6,670,107 = 6,670,107/x
  3. Step 3: Cross multiply
    3,097,764x = 6,670,107 × 6,670,107
  4. Step 4: Simplify right side
    3,097,764x = 44,490,327,391,449
  5. Step 5: Solve for x
    x = 44,490,327,391,449/3,097,764
  6. Step 6: Final answer
    x = 14,362,077.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.