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Finding the Third Proportional to 3,065,867 and 6,653,316

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Solution

The third proportional to 3,065,867 and 6,653,316 is: 14,438,530.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065,867 : 6,653,316 = 6,653,316 : x
  2. Step 2: Convert to fraction form
    3,065,867/6,653,316 = 6,653,316/x
  3. Step 3: Cross multiply
    3,065,867x = 6,653,316 × 6,653,316
  4. Step 4: Simplify right side
    3,065,867x = 44,266,613,795,856
  5. Step 5: Solve for x
    x = 44,266,613,795,856/3,065,867
  6. Step 6: Final answer
    x = 14,438,530.37

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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.