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Finding the Third Proportional to 5,975,856 and 12,965,022

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Solution

The third proportional to 5,975,856 and 12,965,022 is: 28,128,488.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975,856 : 12,965,022 = 12,965,022 : x
  2. Step 2: Convert to fraction form
    5,975,856/12,965,022 = 12,965,022/x
  3. Step 3: Cross multiply
    5,975,856x = 12,965,022 × 12,965,022
  4. Step 4: Simplify right side
    5,975,856x = 168,091,795,460,484
  5. Step 5: Solve for x
    x = 168,091,795,460,484/5,975,856
  6. Step 6: Final answer
    x = 28,128,488.28

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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.