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Finding the Third Proportional to 4,616,964 and 10,022,474.25

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Solution

The third proportional to 4,616,964 and 10,022,474.25 is: 21,756,719.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616,964 : 10,022,474.25 = 10,022,474.25 : x
  2. Step 2: Convert to fraction form
    4,616,964/10,022,474.25 = 10,022,474.25/x
  3. Step 3: Cross multiply
    4,616,964x = 10,022,474.25 × 10,022,474.25
  4. Step 4: Simplify right side
    4,616,964x = 100,449,990,091,913.06
  5. Step 5: Solve for x
    x = 100,449,990,091,913.06/4,616,964
  6. Step 6: Final answer
    x = 21,756,719.37

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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.