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Finding the Third Proportional to 404,873,265,537 and 843,257,652,129

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Solution

The third proportional to 404,873,265,537 and 843,257,652,129 is: 1,756,311,242,064.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,873,265,537 : 843,257,652,129 = 843,257,652,129 : x
  2. Step 2: Convert to fraction form
    404,873,265,537/843,257,652,129 = 843,257,652,129/x
  3. Step 3: Cross multiply
    404,873,265,537x = 843,257,652,129 × 843,257,652,129
  4. Step 4: Simplify right side
    404,873,265,537x = 711,083,467,874,113,591,181,312
  5. Step 5: Solve for x
    x = 711,083,467,874,113,591,181,312/404,873,265,537
  6. Step 6: Final answer
    x = 1,756,311,242,064.78

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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.