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Finding the Third Proportional to 2,876,468,203,088 and 6,259,310,683,532

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Solution

The third proportional to 2,876,468,203,088 and 6,259,310,683,532 is: 13,620,512,193,014.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876,468,203,088 : 6,259,310,683,532 = 6,259,310,683,532 : x
  2. Step 2: Convert to fraction form
    2,876,468,203,088/6,259,310,683,532 = 6,259,310,683,532/x
  3. Step 3: Cross multiply
    2,876,468,203,088x = 6,259,310,683,532 × 6,259,310,683,532
  4. Step 4: Simplify right side
    2,876,468,203,088x = 39,178,970,232,977,835,622,924,288
  5. Step 5: Solve for x
    x = 39,178,970,232,977,835,622,924,288/2,876,468,203,088
  6. Step 6: Final answer
    x = 13,620,512,193,014.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.