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Finding the Third Proportional to 1,033,647,912 and 1,588,788,420

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Solution

The third proportional to 1,033,647,912 and 1,588,788,420 is: 2,442,077,823.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033,647,912 : 1,588,788,420 = 1,588,788,420 : x
  2. Step 2: Convert to fraction form
    1,033,647,912/1,588,788,420 = 1,588,788,420/x
  3. Step 3: Cross multiply
    1,033,647,912x = 1,588,788,420 × 1,588,788,420
  4. Step 4: Simplify right side
    1,033,647,912x = 2,524,248,643,526,096,384
  5. Step 5: Solve for x
    x = 2,524,248,643,526,096,384/1,033,647,912
  6. Step 6: Final answer
    x = 2,442,077,823.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.