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Finding the Third Proportional to 13,733,767,422 and 29,454,673,969

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Solution

The third proportional to 13,733,767,422 and 29,454,673,969 is: 63,171,145,393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,733,767,422 : 29,454,673,969 = 29,454,673,969 : x
  2. Step 2: Convert to fraction form
    13,733,767,422/29,454,673,969 = 29,454,673,969/x
  3. Step 3: Cross multiply
    13,733,767,422x = 29,454,673,969 × 29,454,673,969
  4. Step 4: Simplify right side
    13,733,767,422x = 867,577,818,620,086,190,080
  5. Step 5: Solve for x
    x = 867,577,818,620,086,190,080/13,733,767,422
  6. Step 6: Final answer
    x = 63,171,145,393.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.