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Finding the Third Proportional to 385,757,433 and 846,431,415

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Solution

The third proportional to 385,757,433 and 846,431,415 is: 1,857,245,198.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,757,433 : 846,431,415 = 846,431,415 : x
  2. Step 2: Convert to fraction form
    385,757,433/846,431,415 = 846,431,415/x
  3. Step 3: Cross multiply
    385,757,433x = 846,431,415 × 846,431,415
  4. Step 4: Simplify right side
    385,757,433x = 716,446,140,298,902,272
  5. Step 5: Solve for x
    x = 716,446,140,298,902,272/385,757,433
  6. Step 6: Final answer
    x = 1,857,245,198.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.