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Finding the Third Proportional to 2,797,068,278 and 4,194,575,337

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Solution

The third proportional to 2,797,068,278 and 4,194,575,337 is: 6,290,322,762.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797,068,278 : 4,194,575,337 = 4,194,575,337 : x
  2. Step 2: Convert to fraction form
    2,797,068,278/4,194,575,337 = 4,194,575,337/x
  3. Step 3: Cross multiply
    2,797,068,278x = 4,194,575,337 × 4,194,575,337
  4. Step 4: Simplify right side
    2,797,068,278x = 17,594,462,257,768,663,040
  5. Step 5: Solve for x
    x = 17,594,462,257,768,663,040/2,797,068,278
  6. Step 6: Final answer
    x = 6,290,322,762.64

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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.