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Finding the Third Proportional to 4,942,036 and 10,828,856

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Solution

The third proportional to 4,942,036 and 10,828,856 is: 23,727,897.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942,036 : 10,828,856 = 10,828,856 : x
  2. Step 2: Convert to fraction form
    4,942,036/10,828,856 = 10,828,856/x
  3. Step 3: Cross multiply
    4,942,036x = 10,828,856 × 10,828,856
  4. Step 4: Simplify right side
    4,942,036x = 117,264,122,268,736
  5. Step 5: Solve for x
    x = 117,264,122,268,736/4,942,036
  6. Step 6: Final answer
    x = 23,727,897.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.