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Finding the Third Proportional to 6,863,476 and 14,922,152

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Solution

The third proportional to 6,863,476 and 14,922,152 is: 32,442,835.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863,476 : 14,922,152 = 14,922,152 : x
  2. Step 2: Convert to fraction form
    6,863,476/14,922,152 = 14,922,152/x
  3. Step 3: Cross multiply
    6,863,476x = 14,922,152 × 14,922,152
  4. Step 4: Simplify right side
    6,863,476x = 222,670,620,311,104
  5. Step 5: Solve for x
    x = 222,670,620,311,104/6,863,476
  6. Step 6: Final answer
    x = 32,442,835.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.