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Finding the Third Proportional to 517,894,869 and 1,109,477,058

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Solution

The third proportional to 517,894,869 and 1,109,477,058 is: 2,376,813,164.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,894,869 : 1,109,477,058 = 1,109,477,058 : x
  2. Step 2: Convert to fraction form
    517,894,869/1,109,477,058 = 1,109,477,058/x
  3. Step 3: Cross multiply
    517,894,869x = 1,109,477,058 × 1,109,477,058
  4. Step 4: Simplify right side
    517,894,869x = 1,230,939,342,228,335,360
  5. Step 5: Solve for x
    x = 1,230,939,342,228,335,360/517,894,869
  6. Step 6: Final answer
    x = 2,376,813,164.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.