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Finding the Third Proportional to 7,584,075 and 16,587,010.50

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Solution

The third proportional to 7,584,075 and 16,587,010.50 is: 36,277,188.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584,075 : 16,587,010.50 = 16,587,010.50 : x
  2. Step 2: Convert to fraction form
    7,584,075/16,587,010.50 = 16,587,010.50/x
  3. Step 3: Cross multiply
    7,584,075x = 16,587,010.50 × 16,587,010.50
  4. Step 4: Simplify right side
    7,584,075x = 275,128,917,327,110.25
  5. Step 5: Solve for x
    x = 275,128,917,327,110.25/7,584,075
  6. Step 6: Final answer
    x = 36,277,188.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.