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Finding the Third Proportional to 2,663,784 and 5,753,196

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Solution

The third proportional to 2,663,784 and 5,753,196 is: 12,425,656.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663,784 : 5,753,196 = 5,753,196 : x
  2. Step 2: Convert to fraction form
    2,663,784/5,753,196 = 5,753,196/x
  3. Step 3: Cross multiply
    2,663,784x = 5,753,196 × 5,753,196
  4. Step 4: Simplify right side
    2,663,784x = 33,099,264,214,416
  5. Step 5: Solve for x
    x = 33,099,264,214,416/2,663,784
  6. Step 6: Final answer
    x = 12,425,656.21

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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.