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Finding the Third Proportional to 35,476,083 and 76,489,650

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Solution

The third proportional to 35,476,083 and 76,489,650 is: 164,918,617.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,476,083 : 76,489,650 = 76,489,650 : x
  2. Step 2: Convert to fraction form
    35,476,083/76,489,650 = 76,489,650/x
  3. Step 3: Cross multiply
    35,476,083x = 76,489,650 × 76,489,650
  4. Step 4: Simplify right side
    35,476,083x = 5,850,666,557,122,500
  5. Step 5: Solve for x
    x = 5,850,666,557,122,500/35,476,083
  6. Step 6: Final answer
    x = 164,918,617.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.