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Finding the Third Proportional to 621,904,976 and 1,360,963,736

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Solution

The third proportional to 621,904,976 and 1,360,963,736 is: 2,978,304,342.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,904,976 : 1,360,963,736 = 1,360,963,736 : x
  2. Step 2: Convert to fraction form
    621,904,976/1,360,963,736 = 1,360,963,736/x
  3. Step 3: Cross multiply
    621,904,976x = 1,360,963,736 × 1,360,963,736
  4. Step 4: Simplify right side
    621,904,976x = 1,852,222,290,707,077,632
  5. Step 5: Solve for x
    x = 1,852,222,290,707,077,632/621,904,976
  6. Step 6: Final answer
    x = 2,978,304,342.60

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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.