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Finding the Third Proportional to 447,916,452.75 and 695,457,379.50

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Solution

The third proportional to 447,916,452.75 and 695,457,379.50 is: 1,079,801,743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,916,452.75 : 695,457,379.50 = 695,457,379.50 : x
  2. Step 2: Convert to fraction form
    447,916,452.75/695,457,379.50 = 695,457,379.50/x
  3. Step 3: Cross multiply
    447,916,452.75x = 695,457,379.50 × 695,457,379.50
  4. Step 4: Simplify right side
    447,916,452.75x = 483,660,966,701,007,040
  5. Step 5: Solve for x
    x = 483,660,966,701,007,040/447,916,452.75
  6. Step 6: Final answer
    x = 1,079,801,743.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.