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Finding the Third Proportional to 396,153,296 and 868,833,988

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Solution

The third proportional to 396,153,296 and 868,833,988 is: 1,905,506,041.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,153,296 : 868,833,988 = 868,833,988 : x
  2. Step 2: Convert to fraction form
    396,153,296/868,833,988 = 868,833,988/x
  3. Step 3: Cross multiply
    396,153,296x = 868,833,988 × 868,833,988
  4. Step 4: Simplify right side
    396,153,296x = 754,872,498,703,984,128
  5. Step 5: Solve for x
    x = 754,872,498,703,984,128/396,153,296
  6. Step 6: Final answer
    x = 1,905,506,041.04

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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.