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Finding the Third Proportional to 23,948,496.28 and 52,430,845.22

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Solution

The third proportional to 23,948,496.28 and 52,430,845.22 is: 114,787,730.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,948,496.28 : 52,430,845.22 = 52,430,845.22 : x
  2. Step 2: Convert to fraction form
    23,948,496.28/52,430,845.22 = 52,430,845.22/x
  3. Step 3: Cross multiply
    23,948,496.28x = 52,430,845.22 × 52,430,845.22
  4. Step 4: Simplify right side
    23,948,496.28x = 2,748,993,530,352,519.50
  5. Step 5: Solve for x
    x = 2,748,993,530,352,519.50/23,948,496.28
  6. Step 6: Final answer
    x = 114,787,730.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.