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Finding the Third Proportional to 10,449,744.19 and 23,608,725.75

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Solution

The third proportional to 10,449,744.19 and 23,608,725.75 is: 53,338,332.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449,744.19 : 23,608,725.75 = 23,608,725.75 : x
  2. Step 2: Convert to fraction form
    10,449,744.19/23,608,725.75 = 23,608,725.75/x
  3. Step 3: Cross multiply
    10,449,744.19x = 23,608,725.75 × 23,608,725.75
  4. Step 4: Simplify right side
    10,449,744.19x = 557,371,931,538,713.06
  5. Step 5: Solve for x
    x = 557,371,931,538,713.06/10,449,744.19
  6. Step 6: Final answer
    x = 53,338,332.65

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.