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Finding the Third Proportional to 9,183,164 and 20,019,784

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Solution

The third proportional to 9,183,164 and 20,019,784 is: 43,644,189.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183,164 : 20,019,784 = 20,019,784 : x
  2. Step 2: Convert to fraction form
    9,183,164/20,019,784 = 20,019,784/x
  3. Step 3: Cross multiply
    9,183,164x = 20,019,784 × 20,019,784
  4. Step 4: Simplify right side
    9,183,164x = 400,791,751,406,656
  5. Step 5: Solve for x
    x = 400,791,751,406,656/9,183,164
  6. Step 6: Final answer
    x = 43,644,189.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.