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Finding the Third Proportional to 2,682,316 and 5,748,144

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Solution

The third proportional to 2,682,316 and 5,748,144 is: 12,318,145.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682,316 : 5,748,144 = 5,748,144 : x
  2. Step 2: Convert to fraction form
    2,682,316/5,748,144 = 5,748,144/x
  3. Step 3: Cross multiply
    2,682,316x = 5,748,144 × 5,748,144
  4. Step 4: Simplify right side
    2,682,316x = 33,041,159,444,736
  5. Step 5: Solve for x
    x = 33,041,159,444,736/2,682,316
  6. Step 6: Final answer
    x = 12,318,145.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.