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Finding the Third Proportional to 6,404,016 and 9,738,056

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Solution

The third proportional to 6,404,016 and 9,738,056 is: 14,807,854.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404,016 : 9,738,056 = 9,738,056 : x
  2. Step 2: Convert to fraction form
    6,404,016/9,738,056 = 9,738,056/x
  3. Step 3: Cross multiply
    6,404,016x = 9,738,056 × 9,738,056
  4. Step 4: Simplify right side
    6,404,016x = 94,829,734,659,136
  5. Step 5: Solve for x
    x = 94,829,734,659,136/6,404,016
  6. Step 6: Final answer
    x = 14,807,854.11

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.