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Finding the Third Proportional to 9,289,964 and 18,953,176

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Solution

The third proportional to 9,289,964 and 18,953,176 is: 38,667,844.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289,964 : 18,953,176 = 18,953,176 : x
  2. Step 2: Convert to fraction form
    9,289,964/18,953,176 = 18,953,176/x
  3. Step 3: Cross multiply
    9,289,964x = 18,953,176 × 18,953,176
  4. Step 4: Simplify right side
    9,289,964x = 359,222,880,486,976
  5. Step 5: Solve for x
    x = 359,222,880,486,976/9,289,964
  6. Step 6: Final answer
    x = 38,667,844.19

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.