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Finding the Third Proportional to 3,397,889,244,400 and 7,280,440,988,288

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Solution

The third proportional to 3,397,889,244,400 and 7,280,440,988,288 is: 15,599,337,462,602.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397,889,244,400 : 7,280,440,988,288 = 7,280,440,988,288 : x
  2. Step 2: Convert to fraction form
    3,397,889,244,400/7,280,440,988,288 = 7,280,440,988,288/x
  3. Step 3: Cross multiply
    3,397,889,244,400x = 7,280,440,988,288 × 7,280,440,988,288
  4. Step 4: Simplify right side
    3,397,889,244,400x = 53,004,820,983,943,953,515,544,576
  5. Step 5: Solve for x
    x = 53,004,820,983,943,953,515,544,576/3,397,889,244,400
  6. Step 6: Final answer
    x = 15,599,337,462,602.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.