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Finding the Third Proportional to 491,041,039 and 1,063,813,138

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Solution

The third proportional to 491,041,039 and 1,063,813,138 is: 2,304,692,078.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,041,039 : 1,063,813,138 = 1,063,813,138 : x
  2. Step 2: Convert to fraction form
    491,041,039/1,063,813,138 = 1,063,813,138/x
  3. Step 3: Cross multiply
    491,041,039x = 1,063,813,138 × 1,063,813,138
  4. Step 4: Simplify right side
    491,041,039x = 1,131,698,392,581,407,104
  5. Step 5: Solve for x
    x = 1,131,698,392,581,407,104/491,041,039
  6. Step 6: Final answer
    x = 2,304,692,078.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.