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Finding the Third Proportional to 2,630,713 and 5,653,041

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Solution

The third proportional to 2,630,713 and 5,653,041 is: 12,147,608.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630,713 : 5,653,041 = 5,653,041 : x
  2. Step 2: Convert to fraction form
    2,630,713/5,653,041 = 5,653,041/x
  3. Step 3: Cross multiply
    2,630,713x = 5,653,041 × 5,653,041
  4. Step 4: Simplify right side
    2,630,713x = 31,956,872,547,681
  5. Step 5: Solve for x
    x = 31,956,872,547,681/2,630,713
  6. Step 6: Final answer
    x = 12,147,608.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.