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Finding the Third Proportional to 2,765,294,978 and 4,042,957,955

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Solution

The third proportional to 2,765,294,978 and 4,042,957,955 is: 5,910,945,904.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765,294,978 : 4,042,957,955 = 4,042,957,955 : x
  2. Step 2: Convert to fraction form
    2,765,294,978/4,042,957,955 = 4,042,957,955/x
  3. Step 3: Cross multiply
    2,765,294,978x = 4,042,957,955 × 4,042,957,955
  4. Step 4: Simplify right side
    2,765,294,978x = 16,345,509,025,897,781,248
  5. Step 5: Solve for x
    x = 16,345,509,025,897,781,248/2,765,294,978
  6. Step 6: Final answer
    x = 5,910,945,904.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.