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Finding the Third Proportional to 2,675,106 and 5,768,172

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Solution

The third proportional to 2,675,106 and 5,768,172 is: 12,437,566.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675,106 : 5,768,172 = 5,768,172 : x
  2. Step 2: Convert to fraction form
    2,675,106/5,768,172 = 5,768,172/x
  3. Step 3: Cross multiply
    2,675,106x = 5,768,172 × 5,768,172
  4. Step 4: Simplify right side
    2,675,106x = 33,271,808,221,584
  5. Step 5: Solve for x
    x = 33,271,808,221,584/2,675,106
  6. Step 6: Final answer
    x = 12,437,566.30

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.