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Finding the Third Proportional to 1,380,737,962.69 and 3,019,751,330.63

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Solution

The third proportional to 1,380,737,962.69 and 3,019,751,330.63 is: 6,604,365,451.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,737,962.69 : 3,019,751,330.63 = 3,019,751,330.63 : x
  2. Step 2: Convert to fraction form
    1,380,737,962.69/3,019,751,330.63 = 3,019,751,330.63/x
  3. Step 3: Cross multiply
    1,380,737,962.69x = 3,019,751,330.63 × 3,019,751,330.63
  4. Step 4: Simplify right side
    1,380,737,962.69x = 9,118,898,098,811,458,560
  5. Step 5: Solve for x
    x = 9,118,898,098,811,458,560/1,380,737,962.69
  6. Step 6: Final answer
    x = 6,604,365,451.84

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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.