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Finding the Third Proportional to 182,915,953,938 and 396,226,878,747

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Solution

The third proportional to 182,915,953,938 and 396,226,878,747 is: 858,294,402,766.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,915,953,938 : 396,226,878,747 = 396,226,878,747 : x
  2. Step 2: Convert to fraction form
    182,915,953,938/396,226,878,747 = 396,226,878,747/x
  3. Step 3: Cross multiply
    182,915,953,938x = 396,226,878,747 × 396,226,878,747
  4. Step 4: Simplify right side
    182,915,953,938x = 156,995,739,441,589,844,443,136
  5. Step 5: Solve for x
    x = 156,995,739,441,589,844,443,136/182,915,953,938
  6. Step 6: Final answer
    x = 858,294,402,766.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.