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Finding the Third Proportional to 565,968,169.69 and 899,971,319.53

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Solution

The third proportional to 565,968,169.69 and 899,971,319.53 is: 1,431,084,678.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,968,169.69 : 899,971,319.53 = 899,971,319.53 : x
  2. Step 2: Convert to fraction form
    565,968,169.69/899,971,319.53 = 899,971,319.53/x
  3. Step 3: Cross multiply
    565,968,169.69x = 899,971,319.53 × 899,971,319.53
  4. Step 4: Simplify right side
    565,968,169.69x = 809,948,375,978,819,328
  5. Step 5: Solve for x
    x = 809,948,375,978,819,328/565,968,169.69
  6. Step 6: Final answer
    x = 1,431,084,678.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.