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Finding the Third Proportional to 466,462,714 and 1,079,889,772

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Solution

The third proportional to 466,462,714 and 1,079,889,772 is: 2,500,011,007.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,462,714 : 1,079,889,772 = 1,079,889,772 : x
  2. Step 2: Convert to fraction form
    466,462,714/1,079,889,772 = 1,079,889,772/x
  3. Step 3: Cross multiply
    466,462,714x = 1,079,889,772 × 1,079,889,772
  4. Step 4: Simplify right side
    466,462,714x = 1,166,161,919,670,212,096
  5. Step 5: Solve for x
    x = 1,166,161,919,670,212,096/466,462,714
  6. Step 6: Final answer
    x = 2,500,011,007.68

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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.