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Finding the Third Proportional to 6,634,451,684 and 14,518,537,672

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Solution

The third proportional to 6,634,451,684 and 14,518,537,672 is: 31,771,719,227.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,634,451,684 : 14,518,537,672 = 14,518,537,672 : x
  2. Step 2: Convert to fraction form
    6,634,451,684/14,518,537,672 = 14,518,537,672/x
  3. Step 3: Cross multiply
    6,634,451,684x = 14,518,537,672 × 14,518,537,672
  4. Step 4: Simplify right side
    6,634,451,684x = 210,787,936,133,283,184,640
  5. Step 5: Solve for x
    x = 210,787,936,133,283,184,640/6,634,451,684
  6. Step 6: Final answer
    x = 31,771,719,227.62

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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.