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Finding the Third Proportional to 6,634,451,682 and 14,518,537,668

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Solution

The third proportional to 6,634,451,682 and 14,518,537,668 is: 31,771,719,219.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,634,451,682 : 14,518,537,668 = 14,518,537,668 : x
  2. Step 2: Convert to fraction form
    6,634,451,682/14,518,537,668 = 14,518,537,668/x
  3. Step 3: Cross multiply
    6,634,451,682x = 14,518,537,668 × 14,518,537,668
  4. Step 4: Simplify right side
    6,634,451,682x = 210,787,936,017,134,878,720
  5. Step 5: Solve for x
    x = 210,787,936,017,134,878,720/6,634,451,682
  6. Step 6: Final answer
    x = 31,771,719,219.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.