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Finding the Third Proportional to 47,823,132 and 76,133,184

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Solution

The third proportional to 47,823,132 and 76,133,184 is: 121,202,051.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,823,132 : 76,133,184 = 76,133,184 : x
  2. Step 2: Convert to fraction form
    47,823,132/76,133,184 = 76,133,184/x
  3. Step 3: Cross multiply
    47,823,132x = 76,133,184 × 76,133,184
  4. Step 4: Simplify right side
    47,823,132x = 5,796,261,705,977,856
  5. Step 5: Solve for x
    x = 5,796,261,705,977,856/47,823,132
  6. Step 6: Final answer
    x = 121,202,051.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.