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Finding the Third Proportional to 3,080,286,738 and 6,725,029,590

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Solution

The third proportional to 3,080,286,738 and 6,725,029,590 is: 14,682,406,812.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,080,286,738 : 6,725,029,590 = 6,725,029,590 : x
  2. Step 2: Convert to fraction form
    3,080,286,738/6,725,029,590 = 6,725,029,590/x
  3. Step 3: Cross multiply
    3,080,286,738x = 6,725,029,590 × 6,725,029,590
  4. Step 4: Simplify right side
    3,080,286,738x = 45,226,022,986,375,569,408
  5. Step 5: Solve for x
    x = 45,226,022,986,375,569,408/3,080,286,738
  6. Step 6: Final answer
    x = 14,682,406,812.47

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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.