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Finding the Third Proportional to 46,589,622 and 72,064,891.50

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Solution

The third proportional to 46,589,622 and 72,064,891.50 is: 111,470,073.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,589,622 : 72,064,891.50 = 72,064,891.50 : x
  2. Step 2: Convert to fraction form
    46,589,622/72,064,891.50 = 72,064,891.50/x
  3. Step 3: Cross multiply
    46,589,622x = 72,064,891.50 × 72,064,891.50
  4. Step 4: Simplify right side
    46,589,622x = 5,193,348,586,906,772
  5. Step 5: Solve for x
    x = 5,193,348,586,906,772/46,589,622
  6. Step 6: Final answer
    x = 111,470,073.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.