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Finding the Third Proportional to 446,108,517 and 966,330,090

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Solution

The third proportional to 446,108,517 and 966,330,090 is: 2,093,198,868.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,108,517 : 966,330,090 = 966,330,090 : x
  2. Step 2: Convert to fraction form
    446,108,517/966,330,090 = 966,330,090/x
  3. Step 3: Cross multiply
    446,108,517x = 966,330,090 × 966,330,090
  4. Step 4: Simplify right side
    446,108,517x = 933,793,842,839,408,128
  5. Step 5: Solve for x
    x = 933,793,842,839,408,128/446,108,517
  6. Step 6: Final answer
    x = 2,093,198,868.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.