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Finding the Third Proportional to 466,462,867.50 and 1,079,890,168.50

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Solution

The third proportional to 466,462,867.50 and 1,079,890,168.50 is: 2,500,012,020.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,462,867.50 : 1,079,890,168.50 = 1,079,890,168.50 : x
  2. Step 2: Convert to fraction form
    466,462,867.50/1,079,890,168.50 = 1,079,890,168.50/x
  3. Step 3: Cross multiply
    466,462,867.50x = 1,079,890,168.50 × 1,079,890,168.50
  4. Step 4: Simplify right side
    466,462,867.50x = 1,166,162,776,022,958,336
  5. Step 5: Solve for x
    x = 1,166,162,776,022,958,336/466,462,867.50
  6. Step 6: Final answer
    x = 2,500,012,020.83

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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.