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Finding the Third Proportional to 1,946,796,926,953.50 and 2,861,877,844,865.20

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Solution

The third proportional to 1,946,796,926,953.50 and 2,861,877,844,865.20 is: 4,207,087,388,281.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946,796,926,953.50 : 2,861,877,844,865.20 = 2,861,877,844,865.20 : x
  2. Step 2: Convert to fraction form
    1,946,796,926,953.50/2,861,877,844,865.20 = 2,861,877,844,865.20/x
  3. Step 3: Cross multiply
    1,946,796,926,953.50x = 2,861,877,844,865.20 × 2,861,877,844,865.20
  4. Step 4: Simplify right side
    1,946,796,926,953.50x = 8,190,344,798,930,283,140,218,880
  5. Step 5: Solve for x
    x = 8,190,344,798,930,283,140,218,880/1,946,796,926,953.50
  6. Step 6: Final answer
    x = 4,207,087,388,281.00

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Why These Related Problems?

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