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Finding the Third Proportional to 543,256,641 and 1,176,763,869

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Solution

The third proportional to 543,256,641 and 1,176,763,869 is: 2,549,022,135.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,256,641 : 1,176,763,869 = 1,176,763,869 : x
  2. Step 2: Convert to fraction form
    543,256,641/1,176,763,869 = 1,176,763,869/x
  3. Step 3: Cross multiply
    543,256,641x = 1,176,763,869 × 1,176,763,869
  4. Step 4: Simplify right side
    543,256,641x = 1,384,773,203,383,849,216
  5. Step 5: Solve for x
    x = 1,384,773,203,383,849,216/543,256,641
  6. Step 6: Final answer
    x = 2,549,022,135.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.