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Finding the Third Proportional to 7,161,884,178 and 15,412,159,848

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Solution

The third proportional to 7,161,884,178 and 15,412,159,848 is: 33,166,505,527.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161,884,178 : 15,412,159,848 = 15,412,159,848 : x
  2. Step 2: Convert to fraction form
    7,161,884,178/15,412,159,848 = 15,412,159,848/x
  3. Step 3: Cross multiply
    7,161,884,178x = 15,412,159,848 × 15,412,159,848
  4. Step 4: Simplify right side
    7,161,884,178x = 237,534,671,180,303,368,192
  5. Step 5: Solve for x
    x = 237,534,671,180,303,368,192/7,161,884,178
  6. Step 6: Final answer
    x = 33,166,505,527.97

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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.