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Finding the Third Proportional to 2,797,068,276 and 4,194,575,334

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Solution

The third proportional to 2,797,068,276 and 4,194,575,334 is: 6,290,322,758.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797,068,276 : 4,194,575,334 = 4,194,575,334 : x
  2. Step 2: Convert to fraction form
    2,797,068,276/4,194,575,334 = 4,194,575,334/x
  3. Step 3: Cross multiply
    2,797,068,276x = 4,194,575,334 × 4,194,575,334
  4. Step 4: Simplify right side
    2,797,068,276x = 17,594,462,232,601,210,880
  5. Step 5: Solve for x
    x = 17,594,462,232,601,210,880/2,797,068,276
  6. Step 6: Final answer
    x = 6,290,322,758.14

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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.