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Finding the Third Proportional to 4,223,404,908 and 6,389,465,868

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Solution

The third proportional to 4,223,404,908 and 6,389,465,868 is: 9,666,436,197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223,404,908 : 6,389,465,868 = 6,389,465,868 : x
  2. Step 2: Convert to fraction form
    4,223,404,908/6,389,465,868 = 6,389,465,868/x
  3. Step 3: Cross multiply
    4,223,404,908x = 6,389,465,868 × 6,389,465,868
  4. Step 4: Simplify right side
    4,223,404,908x = 40,825,274,078,336,991,232
  5. Step 5: Solve for x
    x = 40,825,274,078,336,991,232/4,223,404,908
  6. Step 6: Final answer
    x = 9,666,436,197.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.