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Finding the Third Proportional to 4,942,077 and 10,828,938

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Solution

The third proportional to 4,942,077 and 10,828,938 is: 23,728,059.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942,077 : 10,828,938 = 10,828,938 : x
  2. Step 2: Convert to fraction form
    4,942,077/10,828,938 = 10,828,938/x
  3. Step 3: Cross multiply
    4,942,077x = 10,828,938 × 10,828,938
  4. Step 4: Simplify right side
    4,942,077x = 117,265,898,207,844
  5. Step 5: Solve for x
    x = 117,265,898,207,844/4,942,077
  6. Step 6: Final answer
    x = 23,728,059.72

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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.