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Finding the Third Proportional to 4,256,742 and 9,458,266.50

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Solution

The third proportional to 4,256,742 and 9,458,266.50 is: 21,015,792.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256,742 : 9,458,266.50 = 9,458,266.50 : x
  2. Step 2: Convert to fraction form
    4,256,742/9,458,266.50 = 9,458,266.50/x
  3. Step 3: Cross multiply
    4,256,742x = 9,458,266.50 × 9,458,266.50
  4. Step 4: Simplify right side
    4,256,742x = 89,458,805,185,022.25
  5. Step 5: Solve for x
    x = 89,458,805,185,022.25/4,256,742
  6. Step 6: Final answer
    x = 21,015,792.17

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.