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Finding the Third Proportional to 72,174,791,844 and 150,289,263,756

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Solution

The third proportional to 72,174,791,844 and 150,289,263,756 is: 312,946,698,192.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,174,791,844 : 150,289,263,756 = 150,289,263,756 : x
  2. Step 2: Convert to fraction form
    72,174,791,844/150,289,263,756 = 150,289,263,756/x
  3. Step 3: Cross multiply
    72,174,791,844x = 150,289,263,756 × 150,289,263,756
  4. Step 4: Simplify right side
    72,174,791,844x = 22,586,862,800,320,535,199,744
  5. Step 5: Solve for x
    x = 22,586,862,800,320,535,199,744/72,174,791,844
  6. Step 6: Final answer
    x = 312,946,698,192.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.