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Finding the Third Proportional to 18,783,314,388 and 40,941,631,962

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Solution

The third proportional to 18,783,314,388 and 40,941,631,962 is: 89,239,693,969.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,783,314,388 : 40,941,631,962 = 40,941,631,962 : x
  2. Step 2: Convert to fraction form
    18,783,314,388/40,941,631,962 = 40,941,631,962/x
  3. Step 3: Cross multiply
    18,783,314,388x = 40,941,631,962 × 40,941,631,962
  4. Step 4: Simplify right side
    18,783,314,388x = 1,676,217,227,711,859,916,800
  5. Step 5: Solve for x
    x = 1,676,217,227,711,859,916,800/18,783,314,388
  6. Step 6: Final answer
    x = 89,239,693,969.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.