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Finding the Third Proportional to 9,968,961,676 and 21,272,217,560

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Solution

The third proportional to 9,968,961,676 and 21,272,217,560 is: 45,391,611,947.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968,961,676 : 21,272,217,560 = 21,272,217,560 : x
  2. Step 2: Convert to fraction form
    9,968,961,676/21,272,217,560 = 21,272,217,560/x
  3. Step 3: Cross multiply
    9,968,961,676x = 21,272,217,560 × 21,272,217,560
  4. Step 4: Simplify right side
    9,968,961,676x = 452,507,239,919,972,384,768
  5. Step 5: Solve for x
    x = 452,507,239,919,972,384,768/9,968,961,676
  6. Step 6: Final answer
    x = 45,391,611,947.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.