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Finding the Third Proportional to 1,847,942,114 and 4,109,054,212

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Solution

The third proportional to 1,847,942,114 and 4,109,054,212 is: 9,136,826,521.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847,942,114 : 4,109,054,212 = 4,109,054,212 : x
  2. Step 2: Convert to fraction form
    1,847,942,114/4,109,054,212 = 4,109,054,212/x
  3. Step 3: Cross multiply
    1,847,942,114x = 4,109,054,212 × 4,109,054,212
  4. Step 4: Simplify right side
    1,847,942,114x = 16,884,326,517,154,940,928
  5. Step 5: Solve for x
    x = 16,884,326,517,154,940,928/1,847,942,114
  6. Step 6: Final answer
    x = 9,136,826,521.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.