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Finding the Third Proportional to 5,640,264 and 11,579,148

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Solution

The third proportional to 5,640,264 and 11,579,148 is: 23,771,346.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640,264 : 11,579,148 = 11,579,148 : x
  2. Step 2: Convert to fraction form
    5,640,264/11,579,148 = 11,579,148/x
  3. Step 3: Cross multiply
    5,640,264x = 11,579,148 × 11,579,148
  4. Step 4: Simplify right side
    5,640,264x = 134,076,668,405,904
  5. Step 5: Solve for x
    x = 134,076,668,405,904/5,640,264
  6. Step 6: Final answer
    x = 23,771,346.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.