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Finding the Third Proportional to 2,697,795,194 and 4,046,692,790

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Solution

The third proportional to 2,697,795,194 and 4,046,692,790 is: 6,070,039,183.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697,795,194 : 4,046,692,790 = 4,046,692,790 : x
  2. Step 2: Convert to fraction form
    2,697,795,194/4,046,692,790 = 4,046,692,790/x
  3. Step 3: Cross multiply
    2,697,795,194x = 4,046,692,790 × 4,046,692,790
  4. Step 4: Simplify right side
    2,697,795,194x = 16,375,722,536,637,984,768
  5. Step 5: Solve for x
    x = 16,375,722,536,637,984,768/2,697,795,194
  6. Step 6: Final answer
    x = 6,070,039,183.50

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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.