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Finding the Third Proportional to 1,946,796,926,956 and 2,861,877,844,868

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Solution

The third proportional to 1,946,796,926,956 and 2,861,877,844,868 is: 4,207,087,388,283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946,796,926,956 : 2,861,877,844,868 = 2,861,877,844,868 : x
  2. Step 2: Convert to fraction form
    1,946,796,926,956/2,861,877,844,868 = 2,861,877,844,868/x
  3. Step 3: Cross multiply
    1,946,796,926,956x = 2,861,877,844,868 × 2,861,877,844,868
  4. Step 4: Simplify right side
    1,946,796,926,956x = 8,190,344,798,946,308,736,942,080
  5. Step 5: Solve for x
    x = 8,190,344,798,946,308,736,942,080/1,946,796,926,956
  6. Step 6: Final answer
    x = 4,207,087,388,283.83

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.