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Finding the Third Proportional to 923,964,824.50 and 2,054,513,615

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Solution

The third proportional to 923,964,824.50 and 2,054,513,615 is: 4,568,384,079.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,964,824.50 : 2,054,513,615 = 2,054,513,615 : x
  2. Step 2: Convert to fraction form
    923,964,824.50/2,054,513,615 = 2,054,513,615/x
  3. Step 3: Cross multiply
    923,964,824.50x = 2,054,513,615 × 2,054,513,615
  4. Step 4: Simplify right side
    923,964,824.50x = 4,221,026,194,220,368,384
  5. Step 5: Solve for x
    x = 4,221,026,194,220,368,384/923,964,824.50
  6. Step 6: Final answer
    x = 4,568,384,079.45

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.