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Finding the Third Proportional to 6,783,142,908 and 10,239,203,178

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Solution

The third proportional to 6,783,142,908 and 10,239,203,178 is: 15,456,151,100.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783,142,908 : 10,239,203,178 = 10,239,203,178 : x
  2. Step 2: Convert to fraction form
    6,783,142,908/10,239,203,178 = 10,239,203,178/x
  3. Step 3: Cross multiply
    6,783,142,908x = 10,239,203,178 × 10,239,203,178
  4. Step 4: Simplify right side
    6,783,142,908x = 104,841,281,720,365,301,760
  5. Step 5: Solve for x
    x = 104,841,281,720,365,301,760/6,783,142,908
  6. Step 6: Final answer
    x = 15,456,151,100.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.