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Finding the Third Proportional to 4,852,740.94 and 7,611,859.41

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Solution

The third proportional to 4,852,740.94 and 7,611,859.41 is: 11,939,727.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852,740.94 : 7,611,859.41 = 7,611,859.41 : x
  2. Step 2: Convert to fraction form
    4,852,740.94/7,611,859.41 = 7,611,859.41/x
  3. Step 3: Cross multiply
    4,852,740.94x = 7,611,859.41 × 7,611,859.41
  4. Step 4: Simplify right side
    4,852,740.94x = 57,940,403,620,516.60
  5. Step 5: Solve for x
    x = 57,940,403,620,516.60/4,852,740.94
  6. Step 6: Final answer
    x = 11,939,727.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.