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Finding the Third Proportional to 5,256,462 and 11,405,222

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Solution

The third proportional to 5,256,462 and 11,405,222 is: 24,746,509.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256,462 : 11,405,222 = 11,405,222 : x
  2. Step 2: Convert to fraction form
    5,256,462/11,405,222 = 11,405,222/x
  3. Step 3: Cross multiply
    5,256,462x = 11,405,222 × 11,405,222
  4. Step 4: Simplify right side
    5,256,462x = 130,079,088,869,284
  5. Step 5: Solve for x
    x = 130,079,088,869,284/5,256,462
  6. Step 6: Final answer
    x = 24,746,509.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.