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Finding the Third Proportional to 12,861,352,538 and 26,779,645,876

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Solution

The third proportional to 12,861,352,538 and 26,779,645,876 is: 55,760,032,323.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861,352,538 : 26,779,645,876 = 26,779,645,876 : x
  2. Step 2: Convert to fraction form
    12,861,352,538/26,779,645,876 = 26,779,645,876/x
  3. Step 3: Cross multiply
    12,861,352,538x = 26,779,645,876 × 26,779,645,876
  4. Step 4: Simplify right side
    12,861,352,538x = 717,149,433,243,963,752,448
  5. Step 5: Solve for x
    x = 717,149,433,243,963,752,448/12,861,352,538
  6. Step 6: Final answer
    x = 55,760,032,323.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.