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Finding the Third Proportional to 7,797,948 and 17,388,900

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Solution

The third proportional to 7,797,948 and 17,388,900 is: 38,776,078.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797,948 : 17,388,900 = 17,388,900 : x
  2. Step 2: Convert to fraction form
    7,797,948/17,388,900 = 17,388,900/x
  3. Step 3: Cross multiply
    7,797,948x = 17,388,900 × 17,388,900
  4. Step 4: Simplify right side
    7,797,948x = 302,373,843,210,000
  5. Step 5: Solve for x
    x = 302,373,843,210,000/7,797,948
  6. Step 6: Final answer
    x = 38,776,078.43

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.