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Finding the Third Proportional to 2,923,110,674 and 6,820,827,284

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Solution

The third proportional to 2,923,110,674 and 6,820,827,284 is: 15,915,813,674.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923,110,674 : 6,820,827,284 = 6,820,827,284 : x
  2. Step 2: Convert to fraction form
    2,923,110,674/6,820,827,284 = 6,820,827,284/x
  3. Step 3: Cross multiply
    2,923,110,674x = 6,820,827,284 × 6,820,827,284
  4. Step 4: Simplify right side
    2,923,110,674x = 46,523,684,838,158,819,328
  5. Step 5: Solve for x
    x = 46,523,684,838,158,819,328/2,923,110,674
  6. Step 6: Final answer
    x = 15,915,813,674.78

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.