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Finding the Third Proportional to 39,166,443,763 and 58,791,120,502.50

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Solution

The third proportional to 39,166,443,763 and 58,791,120,502.50 is: 88,248,906,917.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,166,443,763 : 58,791,120,502.50 = 58,791,120,502.50 : x
  2. Step 2: Convert to fraction form
    39,166,443,763/58,791,120,502.50 = 58,791,120,502.50/x
  3. Step 3: Cross multiply
    39,166,443,763x = 58,791,120,502.50 × 58,791,120,502.50
  4. Step 4: Simplify right side
    39,166,443,763x = 3,456,395,849,939,475,759,104
  5. Step 5: Solve for x
    x = 3,456,395,849,939,475,759,104/39,166,443,763
  6. Step 6: Final answer
    x = 88,248,906,917.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.