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Finding the Third Proportional to 23,205,285 and 49,176,699.75

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Solution

The third proportional to 23,205,285 and 49,176,699.75 is: 104,215,388.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205,285 : 49,176,699.75 = 49,176,699.75 : x
  2. Step 2: Convert to fraction form
    23,205,285/49,176,699.75 = 49,176,699.75/x
  3. Step 3: Cross multiply
    23,205,285x = 49,176,699.75 × 49,176,699.75
  4. Step 4: Simplify right side
    23,205,285x = 2,418,347,798,301,650
  5. Step 5: Solve for x
    x = 2,418,347,798,301,650/23,205,285
  6. Step 6: Final answer
    x = 104,215,388.79

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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.