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Finding the Third Proportional to 10,774,608.75 and 23,644,653.75

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Solution

The third proportional to 10,774,608.75 and 23,644,653.75 is: 51,887,698.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774,608.75 : 23,644,653.75 = 23,644,653.75 : x
  2. Step 2: Convert to fraction form
    10,774,608.75/23,644,653.75 = 23,644,653.75/x
  3. Step 3: Cross multiply
    10,774,608.75x = 23,644,653.75 × 23,644,653.75
  4. Step 4: Simplify right side
    10,774,608.75x = 559,069,650,957,389.06
  5. Step 5: Solve for x
    x = 559,069,650,957,389.06/10,774,608.75
  6. Step 6: Final answer
    x = 51,887,698.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.