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Finding the Third Proportional to 37,212,564 and 78,932,904

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Solution

The third proportional to 37,212,564 and 78,932,904 is: 167,427,413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,212,564 : 78,932,904 = 78,932,904 : x
  2. Step 2: Convert to fraction form
    37,212,564/78,932,904 = 78,932,904/x
  3. Step 3: Cross multiply
    37,212,564x = 78,932,904 × 78,932,904
  4. Step 4: Simplify right side
    37,212,564x = 6,230,403,333,873,216
  5. Step 5: Solve for x
    x = 6,230,403,333,873,216/37,212,564
  6. Step 6: Final answer
    x = 167,427,413.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.