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Finding the Third Proportional to 4,651,384,700 and 7,149,511,771

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Solution

The third proportional to 4,651,384,700 and 7,149,511,771 is: 10,989,312,185.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651,384,700 : 7,149,511,771 = 7,149,511,771 : x
  2. Step 2: Convert to fraction form
    4,651,384,700/7,149,511,771 = 7,149,511,771/x
  3. Step 3: Cross multiply
    4,651,384,700x = 7,149,511,771 × 7,149,511,771
  4. Step 4: Simplify right side
    4,651,384,700x = 51,115,518,563,667,558,400
  5. Step 5: Solve for x
    x = 51,115,518,563,667,558,400/4,651,384,700
  6. Step 6: Final answer
    x = 10,989,312,185.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.