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Finding the Third Proportional to 12,862,568,276.75 and 27,862,001,779

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Solution

The third proportional to 12,862,568,276.75 and 27,862,001,779 is: 60,352,732,551.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862,568,276.75 : 27,862,001,779 = 27,862,001,779 : x
  2. Step 2: Convert to fraction form
    12,862,568,276.75/27,862,001,779 = 27,862,001,779/x
  3. Step 3: Cross multiply
    12,862,568,276.75x = 27,862,001,779 × 27,862,001,779
  4. Step 4: Simplify right side
    12,862,568,276.75x = 776,291,143,132,999,188,480
  5. Step 5: Solve for x
    x = 776,291,143,132,999,188,480/12,862,568,276.75
  6. Step 6: Final answer
    x = 60,352,732,551.57

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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.