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Finding the Third Proportional to 621,904,900 and 1,360,963,592

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Solution

The third proportional to 621,904,900 and 1,360,963,592 is: 2,978,304,076.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,904,900 : 1,360,963,592 = 1,360,963,592 : x
  2. Step 2: Convert to fraction form
    621,904,900/1,360,963,592 = 1,360,963,592/x
  3. Step 3: Cross multiply
    621,904,900x = 1,360,963,592 × 1,360,963,592
  4. Step 4: Simplify right side
    621,904,900x = 1,852,221,898,749,542,400
  5. Step 5: Solve for x
    x = 1,852,221,898,749,542,400/621,904,900
  6. Step 6: Final answer
    x = 2,978,304,076.31

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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.