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Finding the Third Proportional to 23,275,540,704 and 51,057,345,984

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Solution

The third proportional to 23,275,540,704 and 51,057,345,984 is: 111,999,657,154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,275,540,704 : 51,057,345,984 = 51,057,345,984 : x
  2. Step 2: Convert to fraction form
    23,275,540,704/51,057,345,984 = 51,057,345,984/x
  3. Step 3: Cross multiply
    23,275,540,704x = 51,057,345,984 × 51,057,345,984
  4. Step 4: Simplify right side
    23,275,540,704x = 2,606,852,578,929,880,858,624
  5. Step 5: Solve for x
    x = 2,606,852,578,929,880,858,624/23,275,540,704
  6. Step 6: Final answer
    x = 111,999,657,154.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.