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Finding the Third Proportional to 2,673,140,437 and 5,566,269,025

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Solution

The third proportional to 2,673,140,437 and 5,566,269,025 is: 11,590,618,446.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673,140,437 : 5,566,269,025 = 5,566,269,025 : x
  2. Step 2: Convert to fraction form
    2,673,140,437/5,566,269,025 = 5,566,269,025/x
  3. Step 3: Cross multiply
    2,673,140,437x = 5,566,269,025 × 5,566,269,025
  4. Step 4: Simplify right side
    2,673,140,437x = 30,983,350,858,674,450,432
  5. Step 5: Solve for x
    x = 30,983,350,858,674,450,432/2,673,140,437
  6. Step 6: Final answer
    x = 11,590,618,446.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.