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Finding the Third Proportional to 459,888,042 and 1,008,811,399.50

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Solution

The third proportional to 459,888,042 and 1,008,811,399.50 is: 2,212,930,858.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,888,042 : 1,008,811,399.50 = 1,008,811,399.50 : x
  2. Step 2: Convert to fraction form
    459,888,042/1,008,811,399.50 = 1,008,811,399.50/x
  3. Step 3: Cross multiply
    459,888,042x = 1,008,811,399.50 × 1,008,811,399.50
  4. Step 4: Simplify right side
    459,888,042x = 1,017,700,439,761,148,544
  5. Step 5: Solve for x
    x = 1,017,700,439,761,148,544/459,888,042
  6. Step 6: Final answer
    x = 2,212,930,858.86

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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.