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Finding the Third Proportional to 10,824,015.45 and 23,339,923.14

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Solution

The third proportional to 10,824,015.45 and 23,339,923.14 is: 50,328,088.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,824,015.45 : 23,339,923.14 = 23,339,923.14 : x
  2. Step 2: Convert to fraction form
    10,824,015.45/23,339,923.14 = 23,339,923.14/x
  3. Step 3: Cross multiply
    10,824,015.45x = 23,339,923.14 × 23,339,923.14
  4. Step 4: Simplify right side
    10,824,015.45x = 544,752,012,027,904.25
  5. Step 5: Solve for x
    x = 544,752,012,027,904.25/10,824,015.45
  6. Step 6: Final answer
    x = 50,328,088.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.