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Finding the Third Proportional to 20,610,975 and 31,400,007

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Solution

The third proportional to 20,610,975 and 31,400,007 is: 47,836,671.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,610,975 : 31,400,007 = 31,400,007 : x
  2. Step 2: Convert to fraction form
    20,610,975/31,400,007 = 31,400,007/x
  3. Step 3: Cross multiply
    20,610,975x = 31,400,007 × 31,400,007
  4. Step 4: Simplify right side
    20,610,975x = 985,960,439,600,049
  5. Step 5: Solve for x
    x = 985,960,439,600,049/20,610,975
  6. Step 6: Final answer
    x = 47,836,671.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.