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Finding the Third Proportional to 1,228,708,278 and 2,707,866,429

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Solution

The third proportional to 1,228,708,278 and 2,707,866,429 is: 5,967,682,263.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228,708,278 : 2,707,866,429 = 2,707,866,429 : x
  2. Step 2: Convert to fraction form
    1,228,708,278/2,707,866,429 = 2,707,866,429/x
  3. Step 3: Cross multiply
    1,228,708,278x = 2,707,866,429 × 2,707,866,429
  4. Step 4: Simplify right side
    1,228,708,278x = 7,332,540,597,305,211,904
  5. Step 5: Solve for x
    x = 7,332,540,597,305,211,904/1,228,708,278
  6. Step 6: Final answer
    x = 5,967,682,263.23

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Why These Related Problems?

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