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Finding the Third Proportional to 852,734,699,928 and 1,896,128,708,022

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Solution

The third proportional to 852,734,699,928 and 1,896,128,708,022 is: 4,216,204,732,478.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,734,699,928 : 1,896,128,708,022 = 1,896,128,708,022 : x
  2. Step 2: Convert to fraction form
    852,734,699,928/1,896,128,708,022 = 1,896,128,708,022/x
  3. Step 3: Cross multiply
    852,734,699,928x = 1,896,128,708,022 × 1,896,128,708,022
  4. Step 4: Simplify right side
    852,734,699,928x = 3,595,304,077,385,178,986,577,920
  5. Step 5: Solve for x
    x = 3,595,304,077,385,178,986,577,920/852,734,699,928
  6. Step 6: Final answer
    x = 4,216,204,732,478.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.