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Finding the Third Proportional to 5,470,724 and 11,782,792

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Solution

The third proportional to 5,470,724 and 11,782,792 is: 25,377,662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470,724 : 11,782,792 = 11,782,792 : x
  2. Step 2: Convert to fraction form
    5,470,724/11,782,792 = 11,782,792/x
  3. Step 3: Cross multiply
    5,470,724x = 11,782,792 × 11,782,792
  4. Step 4: Simplify right side
    5,470,724x = 138,834,187,315,264
  5. Step 5: Solve for x
    x = 138,834,187,315,264/5,470,724
  6. Step 6: Final answer
    x = 25,377,662.50

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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.