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Finding the Third Proportional to 174,339,890 and 382,687,768

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Solution

The third proportional to 174,339,890 and 382,687,768 is: 840,025,353.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,339,890 : 382,687,768 = 382,687,768 : x
  2. Step 2: Convert to fraction form
    174,339,890/382,687,768 = 382,687,768/x
  3. Step 3: Cross multiply
    174,339,890x = 382,687,768 × 382,687,768
  4. Step 4: Simplify right side
    174,339,890x = 146,449,927,776,821,824
  5. Step 5: Solve for x
    x = 146,449,927,776,821,824/174,339,890
  6. Step 6: Final answer
    x = 840,025,353.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.