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Finding the Third Proportional to 1,474,446,336 and 3,167,707,696

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Solution

The third proportional to 1,474,446,336 and 3,167,707,696 is: 6,805,518,656.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474,446,336 : 3,167,707,696 = 3,167,707,696 : x
  2. Step 2: Convert to fraction form
    1,474,446,336/3,167,707,696 = 3,167,707,696/x
  3. Step 3: Cross multiply
    1,474,446,336x = 3,167,707,696 × 3,167,707,696
  4. Step 4: Simplify right side
    1,474,446,336x = 10,034,372,047,297,628,160
  5. Step 5: Solve for x
    x = 10,034,372,047,297,628,160/1,474,446,336
  6. Step 6: Final answer
    x = 6,805,518,656.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.