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Finding the Third Proportional to 1,228,708,280 and 2,707,866,433

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Solution

The third proportional to 1,228,708,280 and 2,707,866,433 is: 5,967,682,271.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228,708,280 : 2,707,866,433 = 2,707,866,433 : x
  2. Step 2: Convert to fraction form
    1,228,708,280/2,707,866,433 = 2,707,866,433/x
  3. Step 3: Cross multiply
    1,228,708,280x = 2,707,866,433 × 2,707,866,433
  4. Step 4: Simplify right side
    1,228,708,280x = 7,332,540,618,968,143,872
  5. Step 5: Solve for x
    x = 7,332,540,618,968,143,872/1,228,708,280
  6. Step 6: Final answer
    x = 5,967,682,271.15

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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.