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Finding the Third Proportional to 17,765,306,624 and 39,502,682,160

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Solution

The third proportional to 17,765,306,624 and 39,502,682,160 is: 87,837,600,040.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,765,306,624 : 39,502,682,160 = 39,502,682,160 : x
  2. Step 2: Convert to fraction form
    17,765,306,624/39,502,682,160 = 39,502,682,160/x
  3. Step 3: Cross multiply
    17,765,306,624x = 39,502,682,160 × 39,502,682,160
  4. Step 4: Simplify right side
    17,765,306,624x = 1,560,461,897,833,982,197,760
  5. Step 5: Solve for x
    x = 1,560,461,897,833,982,197,760/17,765,306,624
  6. Step 6: Final answer
    x = 87,837,600,040.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.