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Finding the Third Proportional to 605,741,536 and 1,317,614,536

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Solution

The third proportional to 605,741,536 and 1,317,614,536 is: 2,866,087,204.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,741,536 : 1,317,614,536 = 1,317,614,536 : x
  2. Step 2: Convert to fraction form
    605,741,536/1,317,614,536 = 1,317,614,536/x
  3. Step 3: Cross multiply
    605,741,536x = 1,317,614,536 × 1,317,614,536
  4. Step 4: Simplify right side
    605,741,536x = 1,736,108,065,478,495,232
  5. Step 5: Solve for x
    x = 1,736,108,065,478,495,232/605,741,536
  6. Step 6: Final answer
    x = 2,866,087,204.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.