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Finding the Third Proportional to 9,945,260 and 14,037,669

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Solution

The third proportional to 9,945,260 and 14,037,669 is: 19,814,077.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,945,260 : 14,037,669 = 14,037,669 : x
  2. Step 2: Convert to fraction form
    9,945,260/14,037,669 = 14,037,669/x
  3. Step 3: Cross multiply
    9,945,260x = 14,037,669 × 14,037,669
  4. Step 4: Simplify right side
    9,945,260x = 197,056,150,953,561
  5. Step 5: Solve for x
    x = 197,056,150,953,561/9,945,260
  6. Step 6: Final answer
    x = 19,814,077.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.