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Finding the Third Proportional to 299,716,684,054.50 and 647,203,009,561.50

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Solution

The third proportional to 299,716,684,054.50 and 647,203,009,561.50 is: 1,397,558,954,406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,716,684,054.50 : 647,203,009,561.50 = 647,203,009,561.50 : x
  2. Step 2: Convert to fraction form
    299,716,684,054.50/647,203,009,561.50 = 647,203,009,561.50/x
  3. Step 3: Cross multiply
    299,716,684,054.50x = 647,203,009,561.50 × 647,203,009,561.50
  4. Step 4: Simplify right side
    299,716,684,054.50x = 418,871,735,585,463,091,593,216
  5. Step 5: Solve for x
    x = 418,871,735,585,463,091,593,216/299,716,684,054.50
  6. Step 6: Final answer
    x = 1,397,558,954,406.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.