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Finding the Third Proportional to 3,066,566,463 and 6,670,424,097

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Solution

The third proportional to 3,066,566,463 and 6,670,424,097 is: 14,509,568,982.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066,566,463 : 6,670,424,097 = 6,670,424,097 : x
  2. Step 2: Convert to fraction form
    3,066,566,463/6,670,424,097 = 6,670,424,097/x
  3. Step 3: Cross multiply
    3,066,566,463x = 6,670,424,097 × 6,670,424,097
  4. Step 4: Simplify right side
    3,066,566,463x = 44,494,557,633,838,268,416
  5. Step 5: Solve for x
    x = 44,494,557,633,838,268,416/3,066,566,463
  6. Step 6: Final answer
    x = 14,509,568,982.34

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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.