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Finding the Third Proportional to 23,549,084 and 34,548,609

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Solution

The third proportional to 23,549,084 and 34,548,609 is: 50,685,894.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,549,084 : 34,548,609 = 34,548,609 : x
  2. Step 2: Convert to fraction form
    23,549,084/34,548,609 = 34,548,609/x
  3. Step 3: Cross multiply
    23,549,084x = 34,548,609 × 34,548,609
  4. Step 4: Simplify right side
    23,549,084x = 1,193,606,383,834,881
  5. Step 5: Solve for x
    x = 1,193,606,383,834,881/23,549,084
  6. Step 6: Final answer
    x = 50,685,894.36

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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.