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Finding the Third Proportional to 1,784,302,996 and 3,865,154,961

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Solution

The third proportional to 1,784,302,996 and 3,865,154,961 is: 8,372,693,934.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784,302,996 : 3,865,154,961 = 3,865,154,961 : x
  2. Step 2: Convert to fraction form
    1,784,302,996/3,865,154,961 = 3,865,154,961/x
  3. Step 3: Cross multiply
    1,784,302,996x = 3,865,154,961 × 3,865,154,961
  4. Step 4: Simplify right side
    1,784,302,996x = 14,939,422,872,542,912,512
  5. Step 5: Solve for x
    x = 14,939,422,872,542,912,512/1,784,302,996
  6. Step 6: Final answer
    x = 8,372,693,934.85

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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.