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Finding the Third Proportional to 10,825,362 and 23,283,684

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Solution

The third proportional to 10,825,362 and 23,283,684 is: 50,079,613.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825,362 : 23,283,684 = 23,283,684 : x
  2. Step 2: Convert to fraction form
    10,825,362/23,283,684 = 23,283,684/x
  3. Step 3: Cross multiply
    10,825,362x = 23,283,684 × 23,283,684
  4. Step 4: Simplify right side
    10,825,362x = 542,129,940,611,856
  5. Step 5: Solve for x
    x = 542,129,940,611,856/10,825,362
  6. Step 6: Final answer
    x = 50,079,613.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.