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Finding the Third Proportional to 12,862,568,310 and 27,862,001,823

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Solution

The third proportional to 12,862,568,310 and 27,862,001,823 is: 60,352,732,586.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862,568,310 : 27,862,001,823 = 27,862,001,823 : x
  2. Step 2: Convert to fraction form
    12,862,568,310/27,862,001,823 = 27,862,001,823/x
  3. Step 3: Cross multiply
    12,862,568,310x = 27,862,001,823 × 27,862,001,823
  4. Step 4: Simplify right side
    12,862,568,310x = 776,291,145,584,855,351,296
  5. Step 5: Solve for x
    x = 776,291,145,584,855,351,296/12,862,568,310
  6. Step 6: Final answer
    x = 60,352,732,586.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.