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Finding the Third Proportional to 1,288,085,197 and 2,829,216,986

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Solution

The third proportional to 1,288,085,197 and 2,829,216,986 is: 6,214,238,602.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288,085,197 : 2,829,216,986 = 2,829,216,986 : x
  2. Step 2: Convert to fraction form
    1,288,085,197/2,829,216,986 = 2,829,216,986/x
  3. Step 3: Cross multiply
    1,288,085,197x = 2,829,216,986 × 2,829,216,986
  4. Step 4: Simplify right side
    1,288,085,197x = 8,004,468,753,870,923,776
  5. Step 5: Solve for x
    x = 8,004,468,753,870,923,776/1,288,085,197
  6. Step 6: Final answer
    x = 6,214,238,602.01

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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.