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Finding the Third Proportional to 34,947,924 and 54,703,534.50

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Solution

The third proportional to 34,947,924 and 54,703,534.50 is: 85,626,736.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,947,924 : 54,703,534.50 = 54,703,534.50 : x
  2. Step 2: Convert to fraction form
    34,947,924/54,703,534.50 = 54,703,534.50/x
  3. Step 3: Cross multiply
    34,947,924x = 54,703,534.50 × 54,703,534.50
  4. Step 4: Simplify right side
    34,947,924x = 2,992,476,686,792,690
  5. Step 5: Solve for x
    x = 2,992,476,686,792,690/34,947,924
  6. Step 6: Final answer
    x = 85,626,736.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.