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Finding the Third Proportional to 466,462,696.50 and 1,079,889,738.75

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Solution

The third proportional to 466,462,696.50 and 1,079,889,738.75 is: 2,500,010,947.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,462,696.50 : 1,079,889,738.75 = 1,079,889,738.75 : x
  2. Step 2: Convert to fraction form
    466,462,696.50/1,079,889,738.75 = 1,079,889,738.75/x
  3. Step 3: Cross multiply
    466,462,696.50x = 1,079,889,738.75 × 1,079,889,738.75
  4. Step 4: Simplify right side
    466,462,696.50x = 1,166,161,847,857,543,168
  5. Step 5: Solve for x
    x = 1,166,161,847,857,543,168/466,462,696.50
  6. Step 6: Final answer
    x = 2,500,010,947.52

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.