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Finding the Third Proportional to 2,137,668 and 4,702,863

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Solution

The third proportional to 2,137,668 and 4,702,863 is: 10,346,284.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137,668 : 4,702,863 = 4,702,863 : x
  2. Step 2: Convert to fraction form
    2,137,668/4,702,863 = 4,702,863/x
  3. Step 3: Cross multiply
    2,137,668x = 4,702,863 × 4,702,863
  4. Step 4: Simplify right side
    2,137,668x = 22,116,920,396,769
  5. Step 5: Solve for x
    x = 22,116,920,396,769/2,137,668
  6. Step 6: Final answer
    x = 10,346,284.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.