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Finding the Third Proportional to 10,974,741.89 and 23,903,978.34

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Solution

The third proportional to 10,974,741.89 and 23,903,978.34 is: 52,065,022.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974,741.89 : 23,903,978.34 = 23,903,978.34 : x
  2. Step 2: Convert to fraction form
    10,974,741.89/23,903,978.34 = 23,903,978.34/x
  3. Step 3: Cross multiply
    10,974,741.89x = 23,903,978.34 × 23,903,978.34
  4. Step 4: Simplify right side
    10,974,741.89x = 571,400,180,658,469
  5. Step 5: Solve for x
    x = 571,400,180,658,469/10,974,741.89
  6. Step 6: Final answer
    x = 52,065,022.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.