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Finding the Third Proportional to 8,187,259,407 and 12,576,631,995

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Solution

The third proportional to 8,187,259,407 and 12,576,631,995 is: 19,319,245,241.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187,259,407 : 12,576,631,995 = 12,576,631,995 : x
  2. Step 2: Convert to fraction form
    8,187,259,407/12,576,631,995 = 12,576,631,995/x
  3. Step 3: Cross multiply
    8,187,259,407x = 12,576,631,995 × 12,576,631,995
  4. Step 4: Simplify right side
    8,187,259,407x = 158,171,672,337,657,692,160
  5. Step 5: Solve for x
    x = 158,171,672,337,657,692,160/8,187,259,407
  6. Step 6: Final answer
    x = 19,319,245,241.26

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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.