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Finding the Third Proportional to 2,842,359,651.75 and 6,338,269,899

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Solution

The third proportional to 2,842,359,651.75 and 6,338,269,899 is: 14,133,913,450.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842,359,651.75 : 6,338,269,899 = 6,338,269,899 : x
  2. Step 2: Convert to fraction form
    2,842,359,651.75/6,338,269,899 = 6,338,269,899/x
  3. Step 3: Cross multiply
    2,842,359,651.75x = 6,338,269,899 × 6,338,269,899
  4. Step 4: Simplify right side
    2,842,359,651.75x = 40,173,665,312,569,466,880
  5. Step 5: Solve for x
    x = 40,173,665,312,569,466,880/2,842,359,651.75
  6. Step 6: Final answer
    x = 14,133,913,450.34

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.