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Finding the Third Proportional to 8,386,176 and 18,342,636

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Solution

The third proportional to 8,386,176 and 18,342,636 is: 40,119,870.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386,176 : 18,342,636 = 18,342,636 : x
  2. Step 2: Convert to fraction form
    8,386,176/18,342,636 = 18,342,636/x
  3. Step 3: Cross multiply
    8,386,176x = 18,342,636 × 18,342,636
  4. Step 4: Simplify right side
    8,386,176x = 336,452,295,428,496
  5. Step 5: Solve for x
    x = 336,452,295,428,496/8,386,176
  6. Step 6: Final answer
    x = 40,119,870.54

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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.