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Finding the Third Proportional to 1,295,482,333 and 2,820,978,746

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Solution

The third proportional to 1,295,482,333 and 2,820,978,746 is: 6,142,824,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295,482,333 : 2,820,978,746 = 2,820,978,746 : x
  2. Step 2: Convert to fraction form
    1,295,482,333/2,820,978,746 = 2,820,978,746/x
  3. Step 3: Cross multiply
    1,295,482,333x = 2,820,978,746 × 2,820,978,746
  4. Step 4: Simplify right side
    1,295,482,333x = 7,957,921,085,383,732,224
  5. Step 5: Solve for x
    x = 7,957,921,085,383,732,224/1,295,482,333
  6. Step 6: Final answer
    x = 6,142,824,863.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.