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Finding the Third Proportional to 2,521,568,666 and 5,518,145,596

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Solution

The third proportional to 2,521,568,666 and 5,518,145,596 is: 12,075,788,864.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521,568,666 : 5,518,145,596 = 5,518,145,596 : x
  2. Step 2: Convert to fraction form
    2,521,568,666/5,518,145,596 = 5,518,145,596/x
  3. Step 3: Cross multiply
    2,521,568,666x = 5,518,145,596 × 5,518,145,596
  4. Step 4: Simplify right side
    2,521,568,666x = 30,449,930,818,654,195,712
  5. Step 5: Solve for x
    x = 30,449,930,818,654,195,712/2,521,568,666
  6. Step 6: Final answer
    x = 12,075,788,864.78

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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.