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Finding the Third Proportional to 423,294,723 and 911,458,458

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Solution

The third proportional to 423,294,723 and 911,458,458 is: 1,962,595,977.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,294,723 : 911,458,458 = 911,458,458 : x
  2. Step 2: Convert to fraction form
    423,294,723/911,458,458 = 911,458,458/x
  3. Step 3: Cross multiply
    423,294,723x = 911,458,458 × 911,458,458
  4. Step 4: Simplify right side
    423,294,723x = 830,756,520,659,737,728
  5. Step 5: Solve for x
    x = 830,756,520,659,737,728/423,294,723
  6. Step 6: Final answer
    x = 1,962,595,977.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.