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Finding the Third Proportional to 728,373,720.66 and 1,602,030,124.69

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Solution

The third proportional to 728,373,720.66 and 1,602,030,124.69 is: 3,523,603,951.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,373,720.66 : 1,602,030,124.69 = 1,602,030,124.69 : x
  2. Step 2: Convert to fraction form
    728,373,720.66/1,602,030,124.69 = 1,602,030,124.69/x
  3. Step 3: Cross multiply
    728,373,720.66x = 1,602,030,124.69 × 1,602,030,124.69
  4. Step 4: Simplify right side
    728,373,720.66x = 2,566,500,520,406,246,912
  5. Step 5: Solve for x
    x = 2,566,500,520,406,246,912/728,373,720.66
  6. Step 6: Final answer
    x = 3,523,603,951.68

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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.