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Finding the Third Proportional to 13,027,424 and 27,786,160

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Solution

The third proportional to 13,027,424 and 27,786,160 is: 59,265,031.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027,424 : 27,786,160 = 27,786,160 : x
  2. Step 2: Convert to fraction form
    13,027,424/27,786,160 = 27,786,160/x
  3. Step 3: Cross multiply
    13,027,424x = 27,786,160 × 27,786,160
  4. Step 4: Simplify right side
    13,027,424x = 772,070,687,545,600
  5. Step 5: Solve for x
    x = 772,070,687,545,600/13,027,424
  6. Step 6: Final answer
    x = 59,265,031.03

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.