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Finding the Third Proportional to 2,278,543,426 and 4,677,879,236

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Solution

The third proportional to 2,278,543,426 and 4,677,879,236 is: 9,603,746,804.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278,543,426 : 4,677,879,236 = 4,677,879,236 : x
  2. Step 2: Convert to fraction form
    2,278,543,426/4,677,879,236 = 4,677,879,236/x
  3. Step 3: Cross multiply
    2,278,543,426x = 4,677,879,236 × 4,677,879,236
  4. Step 4: Simplify right side
    2,278,543,426x = 21,882,554,146,599,944,192
  5. Step 5: Solve for x
    x = 21,882,554,146,599,944,192/2,278,543,426
  6. Step 6: Final answer
    x = 9,603,746,804.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.