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Finding the Third Proportional to 2,576,160,612 and 5,658,415,380

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Solution

The third proportional to 2,576,160,612 and 5,658,415,380 is: 12,428,442,723.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576,160,612 : 5,658,415,380 = 5,658,415,380 : x
  2. Step 2: Convert to fraction form
    2,576,160,612/5,658,415,380 = 5,658,415,380/x
  3. Step 3: Cross multiply
    2,576,160,612x = 5,658,415,380 × 5,658,415,380
  4. Step 4: Simplify right side
    2,576,160,612x = 32,017,664,612,620,546,048
  5. Step 5: Solve for x
    x = 32,017,664,612,620,546,048/2,576,160,612
  6. Step 6: Final answer
    x = 12,428,442,723.44

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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.