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Finding the Third Proportional to 8,264,256 and 17,901,120

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Solution

The third proportional to 8,264,256 and 17,901,120 is: 38,775,432.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264,256 : 17,901,120 = 17,901,120 : x
  2. Step 2: Convert to fraction form
    8,264,256/17,901,120 = 17,901,120/x
  3. Step 3: Cross multiply
    8,264,256x = 17,901,120 × 17,901,120
  4. Step 4: Simplify right side
    8,264,256x = 320,450,097,254,400
  5. Step 5: Solve for x
    x = 320,450,097,254,400/8,264,256
  6. Step 6: Final answer
    x = 38,775,432.08

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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.