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Finding the Third Proportional to 8,187,259,389.75 and 12,576,631,968

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Solution

The third proportional to 8,187,259,389.75 and 12,576,631,968 is: 19,319,245,199.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187,259,389.75 : 12,576,631,968 = 12,576,631,968 : x
  2. Step 2: Convert to fraction form
    8,187,259,389.75/12,576,631,968 = 12,576,631,968/x
  3. Step 3: Cross multiply
    8,187,259,389.75x = 12,576,631,968 × 12,576,631,968
  4. Step 4: Simplify right side
    8,187,259,389.75x = 158,171,671,658,519,560,192
  5. Step 5: Solve for x
    x = 158,171,671,658,519,560,192/8,187,259,389.75
  6. Step 6: Final answer
    x = 19,319,245,199.02

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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.