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Finding the Third Proportional to 365,387,520 and 862,249,161

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Solution

The third proportional to 365,387,520 and 862,249,161 is: 2,034,753,720.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,387,520 : 862,249,161 = 862,249,161 : x
  2. Step 2: Convert to fraction form
    365,387,520/862,249,161 = 862,249,161/x
  3. Step 3: Cross multiply
    365,387,520x = 862,249,161 × 862,249,161
  4. Step 4: Simplify right side
    365,387,520x = 743,473,615,645,203,968
  5. Step 5: Solve for x
    x = 743,473,615,645,203,968/365,387,520
  6. Step 6: Final answer
    x = 2,034,753,720.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.