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Finding the Third Proportional to 767,623,077 and 1,179,153,198

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Solution

The third proportional to 767,623,077 and 1,179,153,198 is: 1,811,308,578.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,623,077 : 1,179,153,198 = 1,179,153,198 : x
  2. Step 2: Convert to fraction form
    767,623,077/1,179,153,198 = 1,179,153,198/x
  3. Step 3: Cross multiply
    767,623,077x = 1,179,153,198 × 1,179,153,198
  4. Step 4: Simplify right side
    767,623,077x = 1,390,402,264,353,627,136
  5. Step 5: Solve for x
    x = 1,390,402,264,353,627,136/767,623,077
  6. Step 6: Final answer
    x = 1,811,308,578.41

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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.