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Finding the Third Proportional to 12,862,568,272.50 and 27,862,001,757

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Solution

The third proportional to 12,862,568,272.50 and 27,862,001,757 is: 60,352,732,476.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862,568,272.50 : 27,862,001,757 = 27,862,001,757 : x
  2. Step 2: Convert to fraction form
    12,862,568,272.50/27,862,001,757 = 27,862,001,757/x
  3. Step 3: Cross multiply
    12,862,568,272.50x = 27,862,001,757 × 27,862,001,757
  4. Step 4: Simplify right side
    12,862,568,272.50x = 776,291,141,907,071,107,072
  5. Step 5: Solve for x
    x = 776,291,141,907,071,107,072/12,862,568,272.50
  6. Step 6: Final answer
    x = 60,352,732,476.20

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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.