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Finding the Third Proportional to 31,953,441.94 and 69,885,600.19

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Solution

The third proportional to 31,953,441.94 and 69,885,600.19 is: 152,847,293.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,953,441.94 : 69,885,600.19 = 69,885,600.19 : x
  2. Step 2: Convert to fraction form
    31,953,441.94/69,885,600.19 = 69,885,600.19/x
  3. Step 3: Cross multiply
    31,953,441.94x = 69,885,600.19 × 69,885,600.19
  4. Step 4: Simplify right side
    31,953,441.94x = 4,883,997,113,567,100
  5. Step 5: Solve for x
    x = 4,883,997,113,567,100/31,953,441.94
  6. Step 6: Final answer
    x = 152,847,293.36

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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.