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Finding the Third Proportional to 47,147,161 and 70,896,201

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Solution

The third proportional to 47,147,161 and 70,896,201 is: 106,608,143.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,147,161 : 70,896,201 = 70,896,201 : x
  2. Step 2: Convert to fraction form
    47,147,161/70,896,201 = 70,896,201/x
  3. Step 3: Cross multiply
    47,147,161x = 70,896,201 × 70,896,201
  4. Step 4: Simplify right side
    47,147,161x = 5,026,271,316,232,401
  5. Step 5: Solve for x
    x = 5,026,271,316,232,401/47,147,161
  6. Step 6: Final answer
    x = 106,608,143.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.