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Finding the Third Proportional to 14,234,524,416 and 30,611,295,808

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Solution

The third proportional to 14,234,524,416 and 30,611,295,808 is: 65,829,486,371.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234,524,416 : 30,611,295,808 = 30,611,295,808 : x
  2. Step 2: Convert to fraction form
    14,234,524,416/30,611,295,808 = 30,611,295,808/x
  3. Step 3: Cross multiply
    14,234,524,416x = 30,611,295,808 × 30,611,295,808
  4. Step 4: Simplify right side
    14,234,524,416x = 937,051,431,044,878,434,304
  5. Step 5: Solve for x
    x = 937,051,431,044,878,434,304/14,234,524,416
  6. Step 6: Final answer
    x = 65,829,486,371.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.