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Finding the Third Proportional to 299,716,684,046 and 647,203,009,542

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Solution

The third proportional to 299,716,684,046 and 647,203,009,542 is: 1,397,558,954,362.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,716,684,046 : 647,203,009,542 = 647,203,009,542 : x
  2. Step 2: Convert to fraction form
    299,716,684,046/647,203,009,542 = 647,203,009,542/x
  3. Step 3: Cross multiply
    299,716,684,046x = 647,203,009,542 × 647,203,009,542
  4. Step 4: Simplify right side
    299,716,684,046x = 418,871,735,560,222,172,774,400
  5. Step 5: Solve for x
    x = 418,871,735,560,222,172,774,400/299,716,684,046
  6. Step 6: Final answer
    x = 1,397,558,954,362.16

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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.