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Finding the Third Proportional to 13,245,544,872 and 20,359,352,100

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Solution

The third proportional to 13,245,544,872 and 20,359,352,100 is: 31,293,783,829.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,245,544,872 : 20,359,352,100 = 20,359,352,100 : x
  2. Step 2: Convert to fraction form
    13,245,544,872/20,359,352,100 = 20,359,352,100/x
  3. Step 3: Cross multiply
    13,245,544,872x = 20,359,352,100 × 20,359,352,100
  4. Step 4: Simplify right side
    13,245,544,872x = 414,503,217,931,774,394,368
  5. Step 5: Solve for x
    x = 414,503,217,931,774,394,368/13,245,544,872
  6. Step 6: Final answer
    x = 31,293,783,829.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.