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Finding the Third Proportional to 7,161,884,160 and 15,412,159,812

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Solution

The third proportional to 7,161,884,160 and 15,412,159,812 is: 33,166,505,456.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161,884,160 : 15,412,159,812 = 15,412,159,812 : x
  2. Step 2: Convert to fraction form
    7,161,884,160/15,412,159,812 = 15,412,159,812/x
  3. Step 3: Cross multiply
    7,161,884,160x = 15,412,159,812 × 15,412,159,812
  4. Step 4: Simplify right side
    7,161,884,160x = 237,534,670,070,627,860,480
  5. Step 5: Solve for x
    x = 237,534,670,070,627,860,480/7,161,884,160
  6. Step 6: Final answer
    x = 33,166,505,456.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.