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Finding the Third Proportional to 12,862,568,314 and 27,862,001,831

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Solution

The third proportional to 12,862,568,314 and 27,862,001,831 is: 60,352,732,602.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862,568,314 : 27,862,001,831 = 27,862,001,831 : x
  2. Step 2: Convert to fraction form
    12,862,568,314/27,862,001,831 = 27,862,001,831/x
  3. Step 3: Cross multiply
    12,862,568,314x = 27,862,001,831 × 27,862,001,831
  4. Step 4: Simplify right side
    12,862,568,314x = 776,291,146,030,647,345,152
  5. Step 5: Solve for x
    x = 776,291,146,030,647,345,152/12,862,568,314
  6. Step 6: Final answer
    x = 60,352,732,602.07

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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.