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Finding the Third Proportional to 397,544,542 and 850,358,936

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Solution

The third proportional to 397,544,542 and 850,358,936 is: 1,818,941,637.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,544,542 : 850,358,936 = 850,358,936 : x
  2. Step 2: Convert to fraction form
    397,544,542/850,358,936 = 850,358,936/x
  3. Step 3: Cross multiply
    397,544,542x = 850,358,936 × 850,358,936
  4. Step 4: Simplify right side
    397,544,542x = 723,110,320,035,052,032
  5. Step 5: Solve for x
    x = 723,110,320,035,052,032/397,544,542
  6. Step 6: Final answer
    x = 1,818,941,637.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.