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Finding the Third Proportional to 450,888,732.56 and 993,495,324.38

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Solution

The third proportional to 450,888,732.56 and 993,495,324.38 is: 2,189,083,222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,888,732.56 : 993,495,324.38 = 993,495,324.38 : x
  2. Step 2: Convert to fraction form
    450,888,732.56/993,495,324.38 = 993,495,324.38/x
  3. Step 3: Cross multiply
    450,888,732.56x = 993,495,324.38 × 993,495,324.38
  4. Step 4: Simplify right side
    450,888,732.56x = 987,032,959,554,986,496
  5. Step 5: Solve for x
    x = 987,032,959,554,986,496/450,888,732.56
  6. Step 6: Final answer
    x = 2,189,083,222.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.