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Finding the Third Proportional to 12,622,102 and 27,638,364

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Solution

The third proportional to 12,622,102 and 27,638,364 is: 60,519,172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,622,102 : 27,638,364 = 27,638,364 : x
  2. Step 2: Convert to fraction form
    12,622,102/27,638,364 = 27,638,364/x
  3. Step 3: Cross multiply
    12,622,102x = 27,638,364 × 27,638,364
  4. Step 4: Simplify right side
    12,622,102x = 763,879,164,596,496
  5. Step 5: Solve for x
    x = 763,879,164,596,496/12,622,102
  6. Step 6: Final answer
    x = 60,519,172.21

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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.