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Finding the Third Proportional to 492,378,631 and 1,063,373,335

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Solution

The third proportional to 492,378,631 and 1,063,373,335 is: 2,296,531,121.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,378,631 : 1,063,373,335 = 1,063,373,335 : x
  2. Step 2: Convert to fraction form
    492,378,631/1,063,373,335 = 1,063,373,335/x
  3. Step 3: Cross multiply
    492,378,631x = 1,063,373,335 × 1,063,373,335
  4. Step 4: Simplify right side
    492,378,631x = 1,130,762,849,589,022,208
  5. Step 5: Solve for x
    x = 1,130,762,849,589,022,208/492,378,631
  6. Step 6: Final answer
    x = 2,296,531,121.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.