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Finding the Third Proportional to 5,243,706 and 11,216,088

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Solution

The third proportional to 5,243,706 and 11,216,088 is: 23,990,786.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243,706 : 11,216,088 = 11,216,088 : x
  2. Step 2: Convert to fraction form
    5,243,706/11,216,088 = 11,216,088/x
  3. Step 3: Cross multiply
    5,243,706x = 11,216,088 × 11,216,088
  4. Step 4: Simplify right side
    5,243,706x = 125,800,630,023,744
  5. Step 5: Solve for x
    x = 125,800,630,023,744/5,243,706
  6. Step 6: Final answer
    x = 23,990,786.29

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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.