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Finding the Third Proportional to 7,831,102,025 and 12,420,612,759

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Solution

The third proportional to 7,831,102,025 and 12,420,612,759 is: 19,699,860,992.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831,102,025 : 12,420,612,759 = 12,420,612,759 : x
  2. Step 2: Convert to fraction form
    7,831,102,025/12,420,612,759 = 12,420,612,759/x
  3. Step 3: Cross multiply
    7,831,102,025x = 12,420,612,759 × 12,420,612,759
  4. Step 4: Simplify right side
    7,831,102,025x = 154,271,621,309,033,578,496
  5. Step 5: Solve for x
    x = 154,271,621,309,033,578,496/7,831,102,025
  6. Step 6: Final answer
    x = 19,699,860,992.30

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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.