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Finding the Third Proportional to 78,250,879,058 and 171,874,368,076

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Solution

The third proportional to 78,250,879,058 and 171,874,368,076 is: 377,513,949,455.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,250,879,058 : 171,874,368,076 = 171,874,368,076 : x
  2. Step 2: Convert to fraction form
    78,250,879,058/171,874,368,076 = 171,874,368,076/x
  3. Step 3: Cross multiply
    78,250,879,058x = 171,874,368,076 × 171,874,368,076
  4. Step 4: Simplify right side
    78,250,879,058x = 29,540,798,401,524,327,776,256
  5. Step 5: Solve for x
    x = 29,540,798,401,524,327,776,256/78,250,879,058
  6. Step 6: Final answer
    x = 377,513,949,455.17

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