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Finding the Third Proportional to 47,981,088,925 and 105,558,227,813

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Solution

The third proportional to 47,981,088,925 and 105,558,227,813 is: 232,227,731,980.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,981,088,925 : 105,558,227,813 = 105,558,227,813 : x
  2. Step 2: Convert to fraction form
    47,981,088,925/105,558,227,813 = 105,558,227,813/x
  3. Step 3: Cross multiply
    47,981,088,925x = 105,558,227,813 × 105,558,227,813
  4. Step 4: Simplify right side
    47,981,088,925x = 11,142,539,459,021,206,716,416
  5. Step 5: Solve for x
    x = 11,142,539,459,021,206,716,416/47,981,088,925
  6. Step 6: Final answer
    x = 232,227,731,980.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.