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Finding the Third Proportional to 1,795,789,662,336 and 3,718,871,178,891.80

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Solution

The third proportional to 1,795,789,662,336 and 3,718,871,178,891.80 is: 7,701,348,958,208.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795,789,662,336 : 3,718,871,178,891.80 = 3,718,871,178,891.80 : x
  2. Step 2: Convert to fraction form
    1,795,789,662,336/3,718,871,178,891.80 = 3,718,871,178,891.80/x
  3. Step 3: Cross multiply
    1,795,789,662,336x = 3,718,871,178,891.80 × 3,718,871,178,891.80
  4. Step 4: Simplify right side
    1,795,789,662,336x = 13,830,002,845,192,085,269,643,264
  5. Step 5: Solve for x
    x = 13,830,002,845,192,085,269,643,264/1,795,789,662,336
  6. Step 6: Final answer
    x = 7,701,348,958,208.02

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.