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Finding the Third Proportional to 2,138,303.25 and 4,653,033.75

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Solution

The third proportional to 2,138,303.25 and 4,653,033.75 is: 10,125,188.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138,303.25 : 4,653,033.75 = 4,653,033.75 : x
  2. Step 2: Convert to fraction form
    2,138,303.25/4,653,033.75 = 4,653,033.75/x
  3. Step 3: Cross multiply
    2,138,303.25x = 4,653,033.75 × 4,653,033.75
  4. Step 4: Simplify right side
    2,138,303.25x = 21,650,723,078,639.06
  5. Step 5: Solve for x
    x = 21,650,723,078,639.06/2,138,303.25
  6. Step 6: Final answer
    x = 10,125,188.31

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