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Finding the Third Proportional to 452,791,880,496 and 969,190,259,040

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Solution

The third proportional to 452,791,880,496 and 969,190,259,040 is: 2,074,528,715,464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,791,880,496 : 969,190,259,040 = 969,190,259,040 : x
  2. Step 2: Convert to fraction form
    452,791,880,496/969,190,259,040 = 969,190,259,040/x
  3. Step 3: Cross multiply
    452,791,880,496x = 969,190,259,040 × 969,190,259,040
  4. Step 4: Simplify right side
    452,791,880,496x = 939,329,758,218,022,335,545,344
  5. Step 5: Solve for x
    x = 939,329,758,218,022,335,545,344/452,791,880,496
  6. Step 6: Final answer
    x = 2,074,528,715,464.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.