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Finding the Third Proportional to 3,297,489,906 and 7,111,525,812

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Solution

The third proportional to 3,297,489,906 and 7,111,525,812 is: 15,337,059,647.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297,489,906 : 7,111,525,812 = 7,111,525,812 : x
  2. Step 2: Convert to fraction form
    3,297,489,906/7,111,525,812 = 7,111,525,812/x
  3. Step 3: Cross multiply
    3,297,489,906x = 7,111,525,812 × 7,111,525,812
  4. Step 4: Simplify right side
    3,297,489,906x = 50,573,799,374,742,257,664
  5. Step 5: Solve for x
    x = 50,573,799,374,742,257,664/3,297,489,906
  6. Step 6: Final answer
    x = 15,337,059,647.32

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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.