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Finding the Third Proportional to 1,162,937,824 and 2,551,834,034

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Solution

The third proportional to 1,162,937,824 and 2,551,834,034 is: 5,599,488,470.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162,937,824 : 2,551,834,034 = 2,551,834,034 : x
  2. Step 2: Convert to fraction form
    1,162,937,824/2,551,834,034 = 2,551,834,034/x
  3. Step 3: Cross multiply
    1,162,937,824x = 2,551,834,034 × 2,551,834,034
  4. Step 4: Simplify right side
    1,162,937,824x = 6,511,856,937,080,713,216
  5. Step 5: Solve for x
    x = 6,511,856,937,080,713,216/1,162,937,824
  6. Step 6: Final answer
    x = 5,599,488,470.23

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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.