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Finding the Third Proportional to 466,462,816 and 1,079,890,038

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Solution

The third proportional to 466,462,816 and 1,079,890,038 is: 2,500,011,692.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,462,816 : 1,079,890,038 = 1,079,890,038 : x
  2. Step 2: Convert to fraction form
    466,462,816/1,079,890,038 = 1,079,890,038/x
  3. Step 3: Cross multiply
    466,462,816x = 1,079,890,038 × 1,079,890,038
  4. Step 4: Simplify right side
    466,462,816x = 1,166,162,494,171,641,344
  5. Step 5: Solve for x
    x = 1,166,162,494,171,641,344/466,462,816
  6. Step 6: Final answer
    x = 2,500,011,692.62

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.