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Finding the Third Proportional to 11,529,416 and 25,027,984

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Solution

The third proportional to 11,529,416 and 25,027,984 is: 54,330,590.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,529,416 : 25,027,984 = 25,027,984 : x
  2. Step 2: Convert to fraction form
    11,529,416/25,027,984 = 25,027,984/x
  3. Step 3: Cross multiply
    11,529,416x = 25,027,984 × 25,027,984
  4. Step 4: Simplify right side
    11,529,416x = 626,399,983,104,256
  5. Step 5: Solve for x
    x = 626,399,983,104,256/11,529,416
  6. Step 6: Final answer
    x = 54,330,590.82

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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.