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Finding the Third Proportional to 5,465,986 and 11,961,646

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Solution

The third proportional to 5,465,986 and 11,961,646 is: 26,176,608.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465,986 : 11,961,646 = 11,961,646 : x
  2. Step 2: Convert to fraction form
    5,465,986/11,961,646 = 11,961,646/x
  3. Step 3: Cross multiply
    5,465,986x = 11,961,646 × 11,961,646
  4. Step 4: Simplify right side
    5,465,986x = 143,080,975,029,316
  5. Step 5: Solve for x
    x = 143,080,975,029,316/5,465,986
  6. Step 6: Final answer
    x = 26,176,608.40

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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.