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Finding the Third Proportional to 10,767,945 and 23,628,097

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Solution

The third proportional to 10,767,945 and 23,628,097 is: 51,847,122.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767,945 : 23,628,097 = 23,628,097 : x
  2. Step 2: Convert to fraction form
    10,767,945/23,628,097 = 23,628,097/x
  3. Step 3: Cross multiply
    10,767,945x = 23,628,097 × 23,628,097
  4. Step 4: Simplify right side
    10,767,945x = 558,286,967,841,409
  5. Step 5: Solve for x
    x = 558,286,967,841,409/10,767,945
  6. Step 6: Final answer
    x = 51,847,122.90

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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.