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Finding the Third Proportional to 7,493,952.94 and 15,576,968.25

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Solution

The third proportional to 7,493,952.94 and 15,576,968.25 is: 32,378,364.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,493,952.94 : 15,576,968.25 = 15,576,968.25 : x
  2. Step 2: Convert to fraction form
    7,493,952.94/15,576,968.25 = 15,576,968.25/x
  3. Step 3: Cross multiply
    7,493,952.94x = 15,576,968.25 × 15,576,968.25
  4. Step 4: Simplify right side
    7,493,952.94x = 242,641,939,861,508.06
  5. Step 5: Solve for x
    x = 242,641,939,861,508.06/7,493,952.94
  6. Step 6: Final answer
    x = 32,378,364.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.