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Finding the Third Proportional to 4,441,819,937,622 and 9,672,193,818,553

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Solution

The third proportional to 4,441,819,937,622 and 9,672,193,818,553 is: 21,061,487,088,046.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,441,819,937,622 : 9,672,193,818,553 = 9,672,193,818,553 : x
  2. Step 2: Convert to fraction form
    4,441,819,937,622/9,672,193,818,553 = 9,672,193,818,553/x
  3. Step 3: Cross multiply
    4,441,819,937,622x = 9,672,193,818,553 × 9,672,193,818,553
  4. Step 4: Simplify right side
    4,441,819,937,622x = 93,551,333,263,654,855,066,517,504
  5. Step 5: Solve for x
    x = 93,551,333,263,654,855,066,517,504/4,441,819,937,622
  6. Step 6: Final answer
    x = 21,061,487,088,046.86

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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.