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Finding the Third Proportional to 13,153,998,669 and 30,693,724,223

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Solution

The third proportional to 13,153,998,669 and 30,693,724,223 is: 71,621,164,817.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153,998,669 : 30,693,724,223 = 30,693,724,223 : x
  2. Step 2: Convert to fraction form
    13,153,998,669/30,693,724,223 = 30,693,724,223/x
  3. Step 3: Cross multiply
    13,153,998,669x = 30,693,724,223 × 30,693,724,223
  4. Step 4: Simplify right side
    13,153,998,669x = 942,104,706,677,576,957,952
  5. Step 5: Solve for x
    x = 942,104,706,677,576,957,952/13,153,998,669
  6. Step 6: Final answer
    x = 71,621,164,817.19

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.