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Finding the Third Proportional to 422,453,317.50 and 856,845,346.50

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Solution

The third proportional to 422,453,317.50 and 856,845,346.50 is: 1,737,905,509.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,453,317.50 : 856,845,346.50 = 856,845,346.50 : x
  2. Step 2: Convert to fraction form
    422,453,317.50/856,845,346.50 = 856,845,346.50/x
  3. Step 3: Cross multiply
    422,453,317.50x = 856,845,346.50 × 856,845,346.50
  4. Step 4: Simplify right side
    422,453,317.50x = 734,183,947,818,705,024
  5. Step 5: Solve for x
    x = 734,183,947,818,705,024/422,453,317.50
  6. Step 6: Final answer
    x = 1,737,905,509.09

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.