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Finding the Third Proportional to 4,560,934.50 and 9,915,729.75

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Solution

The third proportional to 4,560,934.50 and 9,915,729.75 is: 21,557,357.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,560,934.50 : 9,915,729.75 = 9,915,729.75 : x
  2. Step 2: Convert to fraction form
    4,560,934.50/9,915,729.75 = 9,915,729.75/x
  3. Step 3: Cross multiply
    4,560,934.50x = 9,915,729.75 × 9,915,729.75
  4. Step 4: Simplify right side
    4,560,934.50x = 98,321,696,475,035.06
  5. Step 5: Solve for x
    x = 98,321,696,475,035.06/4,560,934.50
  6. Step 6: Final answer
    x = 21,557,357.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.