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Finding the Third Proportional to 9,999,976 and 14,159,184

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Solution

The third proportional to 9,999,976 and 14,159,184 is: 20,048,297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,999,976 : 14,159,184 = 14,159,184 : x
  2. Step 2: Convert to fraction form
    9,999,976/14,159,184 = 14,159,184/x
  3. Step 3: Cross multiply
    9,999,976x = 14,159,184 × 14,159,184
  4. Step 4: Simplify right side
    9,999,976x = 200,482,491,545,856
  5. Step 5: Solve for x
    x = 200,482,491,545,856/9,999,976
  6. Step 6: Final answer
    x = 20,048,297.27

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.