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Finding the Third Proportional to 404,873,265,522 and 843,257,652,099

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Solution

The third proportional to 404,873,265,522 and 843,257,652,099 is: 1,756,311,242,004.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,873,265,522 : 843,257,652,099 = 843,257,652,099 : x
  2. Step 2: Convert to fraction form
    404,873,265,522/843,257,652,099 = 843,257,652,099/x
  3. Step 3: Cross multiply
    404,873,265,522x = 843,257,652,099 × 843,257,652,099
  4. Step 4: Simplify right side
    404,873,265,522x = 711,083,467,823,518,071,128,064
  5. Step 5: Solve for x
    x = 711,083,467,823,518,071,128,064/404,873,265,522
  6. Step 6: Final answer
    x = 1,756,311,242,004.89

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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.