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Finding the Third Proportional to 12,405,264 and 26,313,456

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Solution

The third proportional to 12,405,264 and 26,313,456 is: 55,814,851.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405,264 : 26,313,456 = 26,313,456 : x
  2. Step 2: Convert to fraction form
    12,405,264/26,313,456 = 26,313,456/x
  3. Step 3: Cross multiply
    12,405,264x = 26,313,456 × 26,313,456
  4. Step 4: Simplify right side
    12,405,264x = 692,397,966,663,936
  5. Step 5: Solve for x
    x = 692,397,966,663,936/12,405,264
  6. Step 6: Final answer
    x = 55,814,851.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.