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Finding the Third Proportional to 46,906,634 and 71,754,927

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Solution

The third proportional to 46,906,634 and 71,754,927 is: 109,766,340.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,906,634 : 71,754,927 = 71,754,927 : x
  2. Step 2: Convert to fraction form
    46,906,634/71,754,927 = 71,754,927/x
  3. Step 3: Cross multiply
    46,906,634x = 71,754,927 × 71,754,927
  4. Step 4: Simplify right side
    46,906,634x = 5,148,769,548,775,329
  5. Step 5: Solve for x
    x = 5,148,769,548,775,329/46,906,634
  6. Step 6: Final answer
    x = 109,766,340.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.