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Finding the Third Proportional to 30,458,950,502 and 66,801,858,292

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Solution

The third proportional to 30,458,950,502 and 66,801,858,292 is: 146,508,274,176.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,458,950,502 : 66,801,858,292 = 66,801,858,292 : x
  2. Step 2: Convert to fraction form
    30,458,950,502/66,801,858,292 = 66,801,858,292/x
  3. Step 3: Cross multiply
    30,458,950,502x = 66,801,858,292 × 66,801,858,292
  4. Step 4: Simplify right side
    30,458,950,502x = 4,462,488,271,264,449,298,432
  5. Step 5: Solve for x
    x = 4,462,488,271,264,449,298,432/30,458,950,502
  6. Step 6: Final answer
    x = 146,508,274,176.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.