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Finding the Third Proportional to 4,553,284.50 and 9,289,464

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Solution

The third proportional to 4,553,284.50 and 9,289,464 is: 18,952,064.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553,284.50 : 9,289,464 = 9,289,464 : x
  2. Step 2: Convert to fraction form
    4,553,284.50/9,289,464 = 9,289,464/x
  3. Step 3: Cross multiply
    4,553,284.50x = 9,289,464 × 9,289,464
  4. Step 4: Simplify right side
    4,553,284.50x = 86,294,141,407,296
  5. Step 5: Solve for x
    x = 86,294,141,407,296/4,553,284.50
  6. Step 6: Final answer
    x = 18,952,064.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.