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Finding the Third Proportional to 30,306,983,090,320 and 62,220,627,645,040

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Solution

The third proportional to 30,306,983,090,320 and 62,220,627,645,040 is: 127,739,752,023,659.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,306,983,090,320 : 62,220,627,645,040 = 62,220,627,645,040 : x
  2. Step 2: Convert to fraction form
    30,306,983,090,320/62,220,627,645,040 = 62,220,627,645,040/x
  3. Step 3: Cross multiply
    30,306,983,090,320x = 62,220,627,645,040 × 62,220,627,645,040
  4. Step 4: Simplify right side
    30,306,983,090,320x = 3,871,406,504,542,715,958,265,905,152
  5. Step 5: Solve for x
    x = 3,871,406,504,542,715,958,265,905,152/30,306,983,090,320
  6. Step 6: Final answer
    x = 127,739,752,023,659.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.