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Finding the Third Proportional to 2,797,068,292 and 4,194,575,355

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Solution

The third proportional to 2,797,068,292 and 4,194,575,355 is: 6,290,322,785.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797,068,292 : 4,194,575,355 = 4,194,575,355 : x
  2. Step 2: Convert to fraction form
    2,797,068,292/4,194,575,355 = 4,194,575,355/x
  3. Step 3: Cross multiply
    2,797,068,292x = 4,194,575,355 × 4,194,575,355
  4. Step 4: Simplify right side
    2,797,068,292x = 17,594,462,408,773,376,000
  5. Step 5: Solve for x
    x = 17,594,462,408,773,376,000/2,797,068,292
  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.