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Finding the Third Proportional to 10,825,344 and 23,283,648

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Solution

The third proportional to 10,825,344 and 23,283,648 is: 50,079,541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825,344 : 23,283,648 = 23,283,648 : x
  2. Step 2: Convert to fraction form
    10,825,344/23,283,648 = 23,283,648/x
  3. Step 3: Cross multiply
    10,825,344x = 23,283,648 × 23,283,648
  4. Step 4: Simplify right side
    10,825,344x = 542,128,264,187,904
  5. Step 5: Solve for x
    x = 542,128,264,187,904/10,825,344
  6. Step 6: Final answer
    x = 50,079,541.51

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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.