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Finding the Third Proportional to 34,477,580 and 74,185,965

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Solution

The third proportional to 34,477,580 and 74,185,965 is: 159,627,137.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,477,580 : 74,185,965 = 74,185,965 : x
  2. Step 2: Convert to fraction form
    34,477,580/74,185,965 = 74,185,965/x
  3. Step 3: Cross multiply
    34,477,580x = 74,185,965 × 74,185,965
  4. Step 4: Simplify right side
    34,477,580x = 5,503,557,402,981,225
  5. Step 5: Solve for x
    x = 5,503,557,402,981,225/34,477,580
  6. Step 6: Final answer
    x = 159,627,137.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.