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Finding the Third Proportional to 1,367,458,596 and 2,783,244,040

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Solution

The third proportional to 1,367,458,596 and 2,783,244,040 is: 5,664,849,677.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367,458,596 : 2,783,244,040 = 2,783,244,040 : x
  2. Step 2: Convert to fraction form
    1,367,458,596/2,783,244,040 = 2,783,244,040/x
  3. Step 3: Cross multiply
    1,367,458,596x = 2,783,244,040 × 2,783,244,040
  4. Step 4: Simplify right side
    1,367,458,596x = 7,746,447,386,195,521,536
  5. Step 5: Solve for x
    x = 7,746,447,386,195,521,536/1,367,458,596
  6. Step 6: Final answer
    x = 5,664,849,677.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.