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Finding the Third Proportional to 78,362,540 and 182,989,352

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Solution

The third proportional to 78,362,540 and 182,989,352 is: 427,310,076.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,362,540 : 182,989,352 = 182,989,352 : x
  2. Step 2: Convert to fraction form
    78,362,540/182,989,352 = 182,989,352/x
  3. Step 3: Cross multiply
    78,362,540x = 182,989,352 × 182,989,352
  4. Step 4: Simplify right side
    78,362,540x = 33,485,102,945,379,904
  5. Step 5: Solve for x
    x = 33,485,102,945,379,904/78,362,540
  6. Step 6: Final answer
    x = 427,310,076.29

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.