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Finding the Third Proportional to 2,414,585,992 and 5,173,388,304

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Solution

The third proportional to 2,414,585,992 and 5,173,388,304 is: 11,084,279,720.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414,585,992 : 5,173,388,304 = 5,173,388,304 : x
  2. Step 2: Convert to fraction form
    2,414,585,992/5,173,388,304 = 5,173,388,304/x
  3. Step 3: Cross multiply
    2,414,585,992x = 5,173,388,304 × 5,173,388,304
  4. Step 4: Simplify right side
    2,414,585,992x = 26,763,946,543,963,996,160
  5. Step 5: Solve for x
    x = 26,763,946,543,963,996,160/2,414,585,992
  6. Step 6: Final answer
    x = 11,084,279,720.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.