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Finding the Third Proportional to 756,987,411,269 and 1,628,785,941,685

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Solution

The third proportional to 756,987,411,269 and 1,628,785,941,685 is: 3,504,607,347,939.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,987,411,269 : 1,628,785,941,685 = 1,628,785,941,685 : x
  2. Step 2: Convert to fraction form
    756,987,411,269/1,628,785,941,685 = 1,628,785,941,685/x
  3. Step 3: Cross multiply
    756,987,411,269x = 1,628,785,941,685 × 1,628,785,941,685
  4. Step 4: Simplify right side
    756,987,411,269x = 2,652,943,643,830,692,419,207,168
  5. Step 5: Solve for x
    x = 2,652,943,643,830,692,419,207,168/756,987,411,269
  6. Step 6: Final answer
    x = 3,504,607,347,939.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.