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Finding the Third Proportional to 13,643,148 and 29,350,824

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Solution

The third proportional to 13,643,148 and 29,350,824 is: 63,143,115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643,148 : 29,350,824 = 29,350,824 : x
  2. Step 2: Convert to fraction form
    13,643,148/29,350,824 = 29,350,824/x
  3. Step 3: Cross multiply
    13,643,148x = 29,350,824 × 29,350,824
  4. Step 4: Simplify right side
    13,643,148x = 861,470,869,478,976
  5. Step 5: Solve for x
    x = 861,470,869,478,976/13,643,148
  6. Step 6: Final answer
    x = 63,143,115.47

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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.