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Finding the Third Proportional to 13,039,968 and 28,321,824

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Solution

The third proportional to 13,039,968 and 28,321,824 is: 61,512,859.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,039,968 : 28,321,824 = 28,321,824 : x
  2. Step 2: Convert to fraction form
    13,039,968/28,321,824 = 28,321,824/x
  3. Step 3: Cross multiply
    13,039,968x = 28,321,824 × 28,321,824
  4. Step 4: Simplify right side
    13,039,968x = 802,125,714,686,976
  5. Step 5: Solve for x
    x = 802,125,714,686,976/13,039,968
  6. Step 6: Final answer
    x = 61,512,859.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.