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Finding the Third Proportional to 46,213,047 and 71,969,529

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Solution

The third proportional to 46,213,047 and 71,969,529 is: 112,081,185.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,213,047 : 71,969,529 = 71,969,529 : x
  2. Step 2: Convert to fraction form
    46,213,047/71,969,529 = 71,969,529/x
  3. Step 3: Cross multiply
    46,213,047x = 71,969,529 × 71,969,529
  4. Step 4: Simplify right side
    46,213,047x = 5,179,613,104,481,841
  5. Step 5: Solve for x
    x = 5,179,613,104,481,841/46,213,047
  6. Step 6: Final answer
    x = 112,081,185.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.