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Finding the Third Proportional to 4,534,913.25 and 9,866,954.25

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Solution

The third proportional to 4,534,913.25 and 9,866,954.25 is: 21,468,279.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534,913.25 : 9,866,954.25 = 9,866,954.25 : x
  2. Step 2: Convert to fraction form
    4,534,913.25/9,866,954.25 = 9,866,954.25/x
  3. Step 3: Cross multiply
    4,534,913.25x = 9,866,954.25 × 9,866,954.25
  4. Step 4: Simplify right side
    4,534,913.25x = 97,356,786,171,593.06
  5. Step 5: Solve for x
    x = 97,356,786,171,593.06/4,534,913.25
  6. Step 6: Final answer
    x = 21,468,279.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.