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Finding the Third Proportional to 12,828,122 and 27,661,370

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Solution

The third proportional to 12,828,122 and 27,661,370 is: 59,646,407.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,828,122 : 27,661,370 = 27,661,370 : x
  2. Step 2: Convert to fraction form
    12,828,122/27,661,370 = 27,661,370/x
  3. Step 3: Cross multiply
    12,828,122x = 27,661,370 × 27,661,370
  4. Step 4: Simplify right side
    12,828,122x = 765,151,390,276,900
  5. Step 5: Solve for x
    x = 765,151,390,276,900/12,828,122
  6. Step 6: Final answer
    x = 59,646,407.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.