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Finding the Third Proportional to 9,162,994 and 13,464,007

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Solution

The third proportional to 9,162,994 and 13,464,007 is: 19,783,870.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162,994 : 13,464,007 = 13,464,007 : x
  2. Step 2: Convert to fraction form
    9,162,994/13,464,007 = 13,464,007/x
  3. Step 3: Cross multiply
    9,162,994x = 13,464,007 × 13,464,007
  4. Step 4: Simplify right side
    9,162,994x = 181,279,484,496,049
  5. Step 5: Solve for x
    x = 181,279,484,496,049/9,162,994
  6. Step 6: Final answer
    x = 19,783,870.26

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.