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Finding the Third Proportional to 6,486,677,080 and 14,162,364,824

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Solution

The third proportional to 6,486,677,080 and 14,162,364,824 is: 30,920,697,135.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486,677,080 : 14,162,364,824 = 14,162,364,824 : x
  2. Step 2: Convert to fraction form
    6,486,677,080/14,162,364,824 = 14,162,364,824/x
  3. Step 3: Cross multiply
    6,486,677,080x = 14,162,364,824 × 14,162,364,824
  4. Step 4: Simplify right side
    6,486,677,080x = 200,572,577,408,072,548,352
  5. Step 5: Solve for x
    x = 200,572,577,408,072,548,352/6,486,677,080
  6. Step 6: Final answer
    x = 30,920,697,135.75

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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.