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Finding the Third Proportional to 2,058,169,946 and 2,776,954,480.75

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Solution

The third proportional to 2,058,169,946 and 2,776,954,480.75 is: 3,746,763,576.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058,169,946 : 2,776,954,480.75 = 2,776,954,480.75 : x
  2. Step 2: Convert to fraction form
    2,058,169,946/2,776,954,480.75 = 2,776,954,480.75/x
  3. Step 3: Cross multiply
    2,058,169,946x = 2,776,954,480.75 × 2,776,954,480.75
  4. Step 4: Simplify right side
    2,058,169,946x = 7,711,476,188,157,502,464
  5. Step 5: Solve for x
    x = 7,711,476,188,157,502,464/2,058,169,946
  6. Step 6: Final answer
    x = 3,746,763,576.62

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.