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Finding the Third Proportional to 20,876,264,641,728 and 42,347,790,103,125

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Solution

The third proportional to 20,876,264,641,728 and 42,347,790,103,125 is: 85,903,074,970,307.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,876,264,641,728 : 42,347,790,103,125 = 42,347,790,103,125 : x
  2. Step 2: Convert to fraction form
    20,876,264,641,728/42,347,790,103,125 = 42,347,790,103,125/x
  3. Step 3: Cross multiply
    20,876,264,641,728x = 42,347,790,103,125 × 42,347,790,103,125
  4. Step 4: Simplify right side
    20,876,264,641,728x = 1,793,335,326,618,331,760,908,304,384
  5. Step 5: Solve for x
    x = 1,793,335,326,618,331,760,908,304,384/20,876,264,641,728
  6. Step 6: Final answer
    x = 85,903,074,970,307.11

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.