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Finding the Third Proportional to 23,549,096 and 34,548,627

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Solution

The third proportional to 23,549,096 and 34,548,627 is: 50,685,921.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,549,096 : 34,548,627 = 34,548,627 : x
  2. Step 2: Convert to fraction form
    23,549,096/34,548,627 = 34,548,627/x
  3. Step 3: Cross multiply
    23,549,096x = 34,548,627 × 34,548,627
  4. Step 4: Simplify right side
    23,549,096x = 1,193,607,627,585,129
  5. Step 5: Solve for x
    x = 1,193,607,627,585,129/23,549,096
  6. Step 6: Final answer
    x = 50,685,921.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.