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Finding the Third Proportional to 78,250,879,072 and 171,874,368,104

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Solution

The third proportional to 78,250,879,072 and 171,874,368,104 is: 377,513,949,510.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,250,879,072 : 171,874,368,104 = 171,874,368,104 : x
  2. Step 2: Convert to fraction form
    78,250,879,072/171,874,368,104 = 171,874,368,104/x
  3. Step 3: Cross multiply
    78,250,879,072x = 171,874,368,104 × 171,874,368,104
  4. Step 4: Simplify right side
    78,250,879,072x = 29,540,798,411,149,290,766,336
  5. Step 5: Solve for x
    x = 29,540,798,411,149,290,766,336/78,250,879,072
  6. Step 6: Final answer
    x = 377,513,949,510.63

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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.