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Finding the Third Proportional to 757,222,033.50 and 1,163,185,756.50

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Solution

The third proportional to 757,222,033.50 and 1,163,185,756.50 is: 1,786,795,740.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,222,033.50 : 1,163,185,756.50 = 1,163,185,756.50 : x
  2. Step 2: Convert to fraction form
    757,222,033.50/1,163,185,756.50 = 1,163,185,756.50/x
  3. Step 3: Cross multiply
    757,222,033.50x = 1,163,185,756.50 × 1,163,185,756.50
  4. Step 4: Simplify right side
    757,222,033.50x = 1,353,001,104,124,477,184
  5. Step 5: Solve for x
    x = 1,353,001,104,124,477,184/757,222,033.50
  6. Step 6: Final answer
    x = 1,786,795,740.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.