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Finding the Third Proportional to 9,454,769 and 13,768,674

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Solution

The third proportional to 9,454,769 and 13,768,674 is: 20,050,874.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454,769 : 13,768,674 = 13,768,674 : x
  2. Step 2: Convert to fraction form
    9,454,769/13,768,674 = 13,768,674/x
  3. Step 3: Cross multiply
    9,454,769x = 13,768,674 × 13,768,674
  4. Step 4: Simplify right side
    9,454,769x = 189,576,383,718,276
  5. Step 5: Solve for x
    x = 189,576,383,718,276/9,454,769
  6. Step 6: Final answer
    x = 20,050,874.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.