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Finding the Third Proportional to 10,232,380,848 and 22,390,464,768

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Solution

The third proportional to 10,232,380,848 and 22,390,464,768 is: 48,994,747,163.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232,380,848 : 22,390,464,768 = 22,390,464,768 : x
  2. Step 2: Convert to fraction form
    10,232,380,848/22,390,464,768 = 22,390,464,768/x
  3. Step 3: Cross multiply
    10,232,380,848x = 22,390,464,768 × 22,390,464,768
  4. Step 4: Simplify right side
    10,232,380,848x = 501,332,912,527,049,293,824
  5. Step 5: Solve for x
    x = 501,332,912,527,049,293,824/10,232,380,848
  6. Step 6: Final answer
    x = 48,994,747,163.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.