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Finding the Third Proportional to 1,052,638,252,854 and 2,307,074,155,914

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Solution

The third proportional to 1,052,638,252,854 and 2,307,074,155,914 is: 5,056,429,544,010.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052,638,252,854 : 2,307,074,155,914 = 2,307,074,155,914 : x
  2. Step 2: Convert to fraction form
    1,052,638,252,854/2,307,074,155,914 = 2,307,074,155,914/x
  3. Step 3: Cross multiply
    1,052,638,252,854x = 2,307,074,155,914 × 2,307,074,155,914
  4. Step 4: Simplify right side
    1,052,638,252,854x = 5,322,591,160,886,295,120,576,512
  5. Step 5: Solve for x
    x = 5,322,591,160,886,295,120,576,512/1,052,638,252,854
  6. Step 6: Final answer
    x = 5,056,429,544,010.25

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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.