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Finding the Third Proportional to 1,228,708,284 and 2,707,866,441

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Solution

The third proportional to 1,228,708,284 and 2,707,866,441 is: 5,967,682,286.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228,708,284 : 2,707,866,441 = 2,707,866,441 : x
  2. Step 2: Convert to fraction form
    1,228,708,284/2,707,866,441 = 2,707,866,441/x
  3. Step 3: Cross multiply
    1,228,708,284x = 2,707,866,441 × 2,707,866,441
  4. Step 4: Simplify right side
    1,228,708,284x = 7,332,540,662,294,006,784
  5. Step 5: Solve for x
    x = 7,332,540,662,294,006,784/1,228,708,284
  6. Step 6: Final answer
    x = 5,967,682,286.98

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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.