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Finding the Third Proportional to 4,564,357.50 and 9,638,004

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Solution

The third proportional to 4,564,357.50 and 9,638,004 is: 20,351,412.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564,357.50 : 9,638,004 = 9,638,004 : x
  2. Step 2: Convert to fraction form
    4,564,357.50/9,638,004 = 9,638,004/x
  3. Step 3: Cross multiply
    4,564,357.50x = 9,638,004 × 9,638,004
  4. Step 4: Simplify right side
    4,564,357.50x = 92,891,121,104,016
  5. Step 5: Solve for x
    x = 92,891,121,104,016/4,564,357.50
  6. Step 6: Final answer
    x = 20,351,412.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.