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Finding the Third Proportional to 29,929,544,172 and 41,843,264,265

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Solution

The third proportional to 29,929,544,172 and 41,843,264,265 is: 58,499,346,140.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,929,544,172 : 41,843,264,265 = 41,843,264,265 : x
  2. Step 2: Convert to fraction form
    29,929,544,172/41,843,264,265 = 41,843,264,265/x
  3. Step 3: Cross multiply
    29,929,544,172x = 41,843,264,265 × 41,843,264,265
  4. Step 4: Simplify right side
    29,929,544,172x = 1,750,858,764,350,625,939,456
  5. Step 5: Solve for x
    x = 1,750,858,764,350,625,939,456/29,929,544,172
  6. Step 6: Final answer
    x = 58,499,346,140.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.