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Finding the Third Proportional to 6,492,449,145 and 14,180,241,778

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Solution

The third proportional to 6,492,449,145 and 14,180,241,778 is: 30,971,248,660.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492,449,145 : 14,180,241,778 = 14,180,241,778 : x
  2. Step 2: Convert to fraction form
    6,492,449,145/14,180,241,778 = 14,180,241,778/x
  3. Step 3: Cross multiply
    6,492,449,145x = 14,180,241,778 × 14,180,241,778
  4. Step 4: Simplify right side
    6,492,449,145x = 201,079,256,882,536,611,840
  5. Step 5: Solve for x
    x = 201,079,256,882,536,611,840/6,492,449,145
  6. Step 6: Final answer
    x = 30,971,248,660.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.