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Finding the Third Proportional to 47,147,170 and 70,896,228

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Solution

The third proportional to 47,147,170 and 70,896,228 is: 106,608,204.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,147,170 : 70,896,228 = 70,896,228 : x
  2. Step 2: Convert to fraction form
    47,147,170/70,896,228 = 70,896,228/x
  3. Step 3: Cross multiply
    47,147,170x = 70,896,228 × 70,896,228
  4. Step 4: Simplify right side
    47,147,170x = 5,026,275,144,627,984
  5. Step 5: Solve for x
    x = 5,026,275,144,627,984/47,147,170
  6. Step 6: Final answer
    x = 106,608,204.58

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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.