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Finding the Third Proportional to 1,268,352,718 and 2,786,128,412

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Solution

The third proportional to 1,268,352,718 and 2,786,128,412 is: 6,120,152,082.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,352,718 : 2,786,128,412 = 2,786,128,412 : x
  2. Step 2: Convert to fraction form
    1,268,352,718/2,786,128,412 = 2,786,128,412/x
  3. Step 3: Cross multiply
    1,268,352,718x = 2,786,128,412 × 2,786,128,412
  4. Step 4: Simplify right side
    1,268,352,718x = 7,762,511,528,153,641,984
  5. Step 5: Solve for x
    x = 7,762,511,528,153,641,984/1,268,352,718
  6. Step 6: Final answer
    x = 6,120,152,082.30

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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.