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Finding the Third Proportional to 9,182,831,503 and 13,771,855,771

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Solution

The third proportional to 9,182,831,503 and 13,771,855,771 is: 20,654,197,054.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182,831,503 : 13,771,855,771 = 13,771,855,771 : x
  2. Step 2: Convert to fraction form
    9,182,831,503/13,771,855,771 = 13,771,855,771/x
  3. Step 3: Cross multiply
    9,182,831,503x = 13,771,855,771 × 13,771,855,771
  4. Step 4: Simplify right side
    9,182,831,503x = 189,664,011,377,225,990,144
  5. Step 5: Solve for x
    x = 189,664,011,377,225,990,144/9,182,831,503
  6. Step 6: Final answer
    x = 20,654,197,054.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.