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Finding the Third Proportional to 7,769,538 and 16,900,056

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Solution

The third proportional to 7,769,538 and 16,900,056 is: 36,760,473.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769,538 : 16,900,056 = 16,900,056 : x
  2. Step 2: Convert to fraction form
    7,769,538/16,900,056 = 16,900,056/x
  3. Step 3: Cross multiply
    7,769,538x = 16,900,056 × 16,900,056
  4. Step 4: Simplify right side
    7,769,538x = 285,611,892,803,136
  5. Step 5: Solve for x
    x = 285,611,892,803,136/7,769,538
  6. Step 6: Final answer
    x = 36,760,473.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.