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Finding the Third Proportional to 2,051,450.30 and 4,464,120.09

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Solution

The third proportional to 2,051,450.30 and 4,464,120.09 is: 9,714,282.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,450.30 : 4,464,120.09 = 4,464,120.09 : x
  2. Step 2: Convert to fraction form
    2,051,450.30/4,464,120.09 = 4,464,120.09/x
  3. Step 3: Cross multiply
    2,051,450.30x = 4,464,120.09 × 4,464,120.09
  4. Step 4: Simplify right side
    2,051,450.30x = 19,928,368,211,422.51
  5. Step 5: Solve for x
    x = 19,928,368,211,422.51/2,051,450.30
  6. Step 6: Final answer
    x = 9,714,282.74

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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.