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Finding the Third Proportional to 3,684,048,908 and 8,013,582,088

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Solution

The third proportional to 3,684,048,908 and 8,013,582,088 is: 17,431,228,380.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684,048,908 : 8,013,582,088 = 8,013,582,088 : x
  2. Step 2: Convert to fraction form
    3,684,048,908/8,013,582,088 = 8,013,582,088/x
  3. Step 3: Cross multiply
    3,684,048,908x = 8,013,582,088 × 8,013,582,088
  4. Step 4: Simplify right side
    3,684,048,908x = 64,217,497,881,114,443,776
  5. Step 5: Solve for x
    x = 64,217,497,881,114,443,776/3,684,048,908
  6. Step 6: Final answer
    x = 17,431,228,380.73

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Why These Related Problems?

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