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Finding the Third Proportional to 5,812,167,728,888 and 12,453,361,815,348

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Solution

The third proportional to 5,812,167,728,888 and 12,453,361,815,348 is: 26,683,025,634,850.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812,167,728,888 : 12,453,361,815,348 = 12,453,361,815,348 : x
  2. Step 2: Convert to fraction form
    5,812,167,728,888/12,453,361,815,348 = 12,453,361,815,348/x
  3. Step 3: Cross multiply
    5,812,167,728,888x = 12,453,361,815,348 × 12,453,361,815,348
  4. Step 4: Simplify right side
    5,812,167,728,888x = 155,086,220,503,967,626,591,993,856
  5. Step 5: Solve for x
    x = 155,086,220,503,967,626,591,993,856/5,812,167,728,888
  6. Step 6: Final answer
    x = 26,683,025,634,850.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.