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Finding the Third Proportional to 32,825,517 and 75,991,552.50

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Solution

The third proportional to 32,825,517 and 75,991,552.50 is: 175,921,556.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,825,517 : 75,991,552.50 = 75,991,552.50 : x
  2. Step 2: Convert to fraction form
    32,825,517/75,991,552.50 = 75,991,552.50/x
  3. Step 3: Cross multiply
    32,825,517x = 75,991,552.50 × 75,991,552.50
  4. Step 4: Simplify right side
    32,825,517x = 5,774,716,051,360,256
  5. Step 5: Solve for x
    x = 5,774,716,051,360,256/32,825,517
  6. Step 6: Final answer
    x = 175,921,556.74

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.