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Finding the Third Proportional to 7,831,102,021 and 12,420,612,753

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Solution

The third proportional to 7,831,102,021 and 12,420,612,753 is: 19,699,860,983.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831,102,021 : 12,420,612,753 = 12,420,612,753 : x
  2. Step 2: Convert to fraction form
    7,831,102,021/12,420,612,753 = 12,420,612,753/x
  3. Step 3: Cross multiply
    7,831,102,021x = 12,420,612,753 × 12,420,612,753
  4. Step 4: Simplify right side
    7,831,102,021x = 154,271,621,159,986,233,344
  5. Step 5: Solve for x
    x = 154,271,621,159,986,233,344/7,831,102,021
  6. Step 6: Final answer
    x = 19,699,860,983.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.