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Finding the Third Proportional to 3,109,601,576 and 4,768,335,444

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Solution

The third proportional to 3,109,601,576 and 4,768,335,444 is: 7,311,876,570.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109,601,576 : 4,768,335,444 = 4,768,335,444 : x
  2. Step 2: Convert to fraction form
    3,109,601,576/4,768,335,444 = 4,768,335,444/x
  3. Step 3: Cross multiply
    3,109,601,576x = 4,768,335,444 × 4,768,335,444
  4. Step 4: Simplify right side
    3,109,601,576x = 22,737,022,906,506,678,272
  5. Step 5: Solve for x
    x = 22,737,022,906,506,678,272/3,109,601,576
  6. Step 6: Final answer
    x = 7,311,876,570.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.