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Finding the Third Proportional to 34,477,578 and 74,185,960.50

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Solution

The third proportional to 34,477,578 and 74,185,960.50 is: 159,627,127.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,477,578 : 74,185,960.50 = 74,185,960.50 : x
  2. Step 2: Convert to fraction form
    34,477,578/74,185,960.50 = 74,185,960.50/x
  3. Step 3: Cross multiply
    34,477,578x = 74,185,960.50 × 74,185,960.50
  4. Step 4: Simplify right side
    34,477,578x = 5,503,556,735,307,560
  5. Step 5: Solve for x
    x = 5,503,556,735,307,560/34,477,578
  6. Step 6: Final answer
    x = 159,627,127.38

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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.