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Finding the Third Proportional to 9,952,510,624 and 21,382,022,912

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Solution

The third proportional to 9,952,510,624 and 21,382,022,912 is: 45,937,243,483.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952,510,624 : 21,382,022,912 = 21,382,022,912 : x
  2. Step 2: Convert to fraction form
    9,952,510,624/21,382,022,912 = 21,382,022,912/x
  3. Step 3: Cross multiply
    9,952,510,624x = 21,382,022,912 × 21,382,022,912
  4. Step 4: Simplify right side
    9,952,510,624x = 457,190,903,809,292,959,744
  5. Step 5: Solve for x
    x = 457,190,903,809,292,959,744/9,952,510,624
  6. Step 6: Final answer
    x = 45,937,243,483.75

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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.