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Finding the Third Proportional to 548,658,300 and 835,850,166

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Solution

The third proportional to 548,658,300 and 835,850,166 is: 1,273,370,875.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,658,300 : 835,850,166 = 835,850,166 : x
  2. Step 2: Convert to fraction form
    548,658,300/835,850,166 = 835,850,166/x
  3. Step 3: Cross multiply
    548,658,300x = 835,850,166 × 835,850,166
  4. Step 4: Simplify right side
    548,658,300x = 698,645,500,002,227,584
  5. Step 5: Solve for x
    x = 698,645,500,002,227,584/548,658,300
  6. Step 6: Final answer
    x = 1,273,370,875.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.