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Finding the Third Proportional to 3,297,489,848 and 7,111,525,712

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Solution

The third proportional to 3,297,489,848 and 7,111,525,712 is: 15,337,059,485.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297,489,848 : 7,111,525,712 = 7,111,525,712 : x
  2. Step 2: Convert to fraction form
    3,297,489,848/7,111,525,712 = 7,111,525,712/x
  3. Step 3: Cross multiply
    3,297,489,848x = 7,111,525,712 × 7,111,525,712
  4. Step 4: Simplify right side
    3,297,489,848x = 50,573,797,952,437,108,736
  5. Step 5: Solve for x
    x = 50,573,797,952,437,108,736/3,297,489,848
  6. Step 6: Final answer
    x = 15,337,059,485.75

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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.