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Finding the Third Proportional to 840,148,469,724 and 1,807,720,968,728

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Solution

The third proportional to 840,148,469,724 and 1,807,720,968,728 is: 3,889,616,203,017.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,148,469,724 : 1,807,720,968,728 = 1,807,720,968,728 : x
  2. Step 2: Convert to fraction form
    840,148,469,724/1,807,720,968,728 = 1,807,720,968,728/x
  3. Step 3: Cross multiply
    840,148,469,724x = 1,807,720,968,728 × 1,807,720,968,728
  4. Step 4: Simplify right side
    840,148,469,724x = 3,267,855,100,778,898,754,895,872
  5. Step 5: Solve for x
    x = 3,267,855,100,778,898,754,895,872/840,148,469,724
  6. Step 6: Final answer
    x = 3,889,616,203,017.58

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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.