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Finding the Third Proportional to 288,702,380 and 673,662,155

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Solution

The third proportional to 288,702,380 and 673,662,155 is: 1,571,932,656.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,702,380 : 673,662,155 = 673,662,155 : x
  2. Step 2: Convert to fraction form
    288,702,380/673,662,155 = 673,662,155/x
  3. Step 3: Cross multiply
    288,702,380x = 673,662,155 × 673,662,155
  4. Step 4: Simplify right side
    288,702,380x = 453,820,699,079,244,032
  5. Step 5: Solve for x
    x = 453,820,699,079,244,032/288,702,380
  6. Step 6: Final answer
    x = 1,571,932,656.32

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.