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Finding the Third Proportional to 2,797,068,288 and 4,194,575,352

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Solution

The third proportional to 2,797,068,288 and 4,194,575,352 is: 6,290,322,785.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797,068,288 : 4,194,575,352 = 4,194,575,352 : x
  2. Step 2: Convert to fraction form
    2,797,068,288/4,194,575,352 = 4,194,575,352/x
  3. Step 3: Cross multiply
    2,797,068,288x = 4,194,575,352 × 4,194,575,352
  4. Step 4: Simplify right side
    2,797,068,288x = 17,594,462,383,605,923,840
  5. Step 5: Solve for x
    x = 17,594,462,383,605,923,840/2,797,068,288
  6. Step 6: Final answer
    x = 6,290,322,785.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.