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Finding the Third Proportional to 1,919,398,830,028 and 3,997,665,172,814

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Solution

The third proportional to 1,919,398,830,028 and 3,997,665,172,814 is: 8,326,214,741,777.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919,398,830,028 : 3,997,665,172,814 = 3,997,665,172,814 : x
  2. Step 2: Convert to fraction form
    1,919,398,830,028/3,997,665,172,814 = 3,997,665,172,814/x
  3. Step 3: Cross multiply
    1,919,398,830,028x = 3,997,665,172,814 × 3,997,665,172,814
  4. Step 4: Simplify right side
    1,919,398,830,028x = 15,981,326,833,929,987,702,128,640
  5. Step 5: Solve for x
    x = 15,981,326,833,929,987,702,128,640/1,919,398,830,028
  6. Step 6: Final answer
    x = 8,326,214,741,777.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.