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Finding the Third Proportional to 3,397,437,072 and 7,382,956,871

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Solution

The third proportional to 3,397,437,072 and 7,382,956,871 is: 16,043,873,956.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397,437,072 : 7,382,956,871 = 7,382,956,871 : x
  2. Step 2: Convert to fraction form
    3,397,437,072/7,382,956,871 = 7,382,956,871/x
  3. Step 3: Cross multiply
    3,397,437,072x = 7,382,956,871 × 7,382,956,871
  4. Step 4: Simplify right side
    3,397,437,072x = 54,508,052,159,046,107,136
  5. Step 5: Solve for x
    x = 54,508,052,159,046,107,136/3,397,437,072
  6. Step 6: Final answer
    x = 16,043,873,956.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.