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Finding the Third Proportional to 4,558,735.50 and 7,218,641.25

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Solution

The third proportional to 4,558,735.50 and 7,218,641.25 is: 11,430,534.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,558,735.50 : 7,218,641.25 = 7,218,641.25 : x
  2. Step 2: Convert to fraction form
    4,558,735.50/7,218,641.25 = 7,218,641.25/x
  3. Step 3: Cross multiply
    4,558,735.50x = 7,218,641.25 × 7,218,641.25
  4. Step 4: Simplify right side
    4,558,735.50x = 52,108,781,496,201.56
  5. Step 5: Solve for x
    x = 52,108,781,496,201.56/4,558,735.50
  6. Step 6: Final answer
    x = 11,430,534.08

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.