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Finding the Third Proportional to 1,596,940,538 and 3,475,082,502

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Solution

The third proportional to 1,596,940,538 and 3,475,082,502 is: 7,562,083,940.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,940,538 : 3,475,082,502 = 3,475,082,502 : x
  2. Step 2: Convert to fraction form
    1,596,940,538/3,475,082,502 = 3,475,082,502/x
  3. Step 3: Cross multiply
    1,596,940,538x = 3,475,082,502 × 3,475,082,502
  4. Step 4: Simplify right side
    1,596,940,538x = 12,076,198,395,706,580,992
  5. Step 5: Solve for x
    x = 12,076,198,395,706,580,992/1,596,940,538
  6. Step 6: Final answer
    x = 7,562,083,940.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.