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Finding the Third Proportional to 7,724,424 and 16,446,768

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Solution

The third proportional to 7,724,424 and 16,446,768 is: 35,018,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724,424 : 16,446,768 = 16,446,768 : x
  2. Step 2: Convert to fraction form
    7,724,424/16,446,768 = 16,446,768/x
  3. Step 3: Cross multiply
    7,724,424x = 16,446,768 × 16,446,768
  4. Step 4: Simplify right side
    7,724,424x = 270,496,177,645,824
  5. Step 5: Solve for x
    x = 270,496,177,645,824/7,724,424
  6. Step 6: Final answer
    x = 35,018,297.50

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.