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Finding the Third Proportional to 1,383,282,514 and 2,964,261,080

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Solution

The third proportional to 1,383,282,514 and 2,964,261,080 is: 6,352,168,600.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383,282,514 : 2,964,261,080 = 2,964,261,080 : x
  2. Step 2: Convert to fraction form
    1,383,282,514/2,964,261,080 = 2,964,261,080/x
  3. Step 3: Cross multiply
    1,383,282,514x = 2,964,261,080 × 2,964,261,080
  4. Step 4: Simplify right side
    1,383,282,514x = 8,786,843,750,402,766,848
  5. Step 5: Solve for x
    x = 8,786,843,750,402,766,848/1,383,282,514
  6. Step 6: Final answer
    x = 6,352,168,600.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.