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Finding the Third Proportional to 13,507,132,120 and 29,339,441,000

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Solution

The third proportional to 13,507,132,120 and 29,339,441,000 is: 63,729,501,610.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507,132,120 : 29,339,441,000 = 29,339,441,000 : x
  2. Step 2: Convert to fraction form
    13,507,132,120/29,339,441,000 = 29,339,441,000/x
  3. Step 3: Cross multiply
    13,507,132,120x = 29,339,441,000 × 29,339,441,000
  4. Step 4: Simplify right side
    13,507,132,120x = 860,802,798,192,481,009,664
  5. Step 5: Solve for x
    x = 860,802,798,192,481,009,664/13,507,132,120
  6. Step 6: Final answer
    x = 63,729,501,610.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.