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Finding the Third Proportional to 431,837,153 and 932,485,563

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Solution

The third proportional to 431,837,153 and 932,485,563 is: 2,013,558,396.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,837,153 : 932,485,563 = 932,485,563 : x
  2. Step 2: Convert to fraction form
    431,837,153/932,485,563 = 932,485,563/x
  3. Step 3: Cross multiply
    431,837,153x = 932,485,563 × 932,485,563
  4. Step 4: Simplify right side
    431,837,153x = 869,529,325,203,426,944
  5. Step 5: Solve for x
    x = 869,529,325,203,426,944/431,837,153
  6. Step 6: Final answer
    x = 2,013,558,396.17

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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.