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Finding the Third Proportional to 728,373,728 and 1,602,030,142

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Solution

The third proportional to 728,373,728 and 1,602,030,142 is: 3,523,603,992.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,373,728 : 1,602,030,142 = 1,602,030,142 : x
  2. Step 2: Convert to fraction form
    728,373,728/1,602,030,142 = 1,602,030,142/x
  3. Step 3: Cross multiply
    728,373,728x = 1,602,030,142 × 1,602,030,142
  4. Step 4: Simplify right side
    728,373,728x = 2,566,500,575,876,540,416
  5. Step 5: Solve for x
    x = 2,566,500,575,876,540,416/728,373,728
  6. Step 6: Final answer
    x = 3,523,603,992.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.