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Finding the Third Proportional to 1,263,863,747 and 2,747,709,735

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Solution

The third proportional to 1,263,863,747 and 2,747,709,735 is: 5,973,673,036.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263,863,747 : 2,747,709,735 = 2,747,709,735 : x
  2. Step 2: Convert to fraction form
    1,263,863,747/2,747,709,735 = 2,747,709,735/x
  3. Step 3: Cross multiply
    1,263,863,747x = 2,747,709,735 × 2,747,709,735
  4. Step 4: Simplify right side
    1,263,863,747x = 7,549,908,787,813,770,240
  5. Step 5: Solve for x
    x = 7,549,908,787,813,770,240/1,263,863,747
  6. Step 6: Final answer
    x = 5,973,673,036.94

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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.