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Finding the Third Proportional to 466,462,638 and 1,079,889,583.50

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Solution

The third proportional to 466,462,638 and 1,079,889,583.50 is: 2,500,010,542.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,462,638 : 1,079,889,583.50 = 1,079,889,583.50 : x
  2. Step 2: Convert to fraction form
    466,462,638/1,079,889,583.50 = 1,079,889,583.50/x
  3. Step 3: Cross multiply
    466,462,638x = 1,079,889,583.50 × 1,079,889,583.50
  4. Step 4: Simplify right side
    466,462,638x = 1,166,161,512,551,803,392
  5. Step 5: Solve for x
    x = 1,166,161,512,551,803,392/466,462,638
  6. Step 6: Final answer
    x = 2,500,010,542.22

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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.