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Finding the Third Proportional to 9,625,927,716 and 20,576,579,150.25

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Solution

The third proportional to 9,625,927,716 and 20,576,579,150.25 is: 43,984,914,703.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625,927,716 : 20,576,579,150.25 = 20,576,579,150.25 : x
  2. Step 2: Convert to fraction form
    9,625,927,716/20,576,579,150.25 = 20,576,579,150.25/x
  3. Step 3: Cross multiply
    9,625,927,716x = 20,576,579,150.25 × 20,576,579,150.25
  4. Step 4: Simplify right side
    9,625,927,716x = 423,395,609,526,503,014,400
  5. Step 5: Solve for x
    x = 423,395,609,526,503,014,400/9,625,927,716
  6. Step 6: Final answer
    x = 43,984,914,703.10

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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.