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Finding the Third Proportional to 1,451,600,532 and 3,185,376,390

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Solution

The third proportional to 1,451,600,532 and 3,185,376,390 is: 6,989,955,240.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451,600,532 : 3,185,376,390 = 3,185,376,390 : x
  2. Step 2: Convert to fraction form
    1,451,600,532/3,185,376,390 = 3,185,376,390/x
  3. Step 3: Cross multiply
    1,451,600,532x = 3,185,376,390 × 3,185,376,390
  4. Step 4: Simplify right side
    1,451,600,532x = 10,146,622,745,969,432,576
  5. Step 5: Solve for x
    x = 10,146,622,745,969,432,576/1,451,600,532
  6. Step 6: Final answer
    x = 6,989,955,240.64

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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.