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Finding the Third Proportional to 15,648,006 and 33,609,859.50

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Solution

The third proportional to 15,648,006 and 33,609,859.50 is: 72,189,559.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,648,006 : 33,609,859.50 = 33,609,859.50 : x
  2. Step 2: Convert to fraction form
    15,648,006/33,609,859.50 = 33,609,859.50/x
  3. Step 3: Cross multiply
    15,648,006x = 33,609,859.50 × 33,609,859.50
  4. Step 4: Simplify right side
    15,648,006x = 1,129,622,655,609,740.25
  5. Step 5: Solve for x
    x = 1,129,622,655,609,740.25/15,648,006
  6. Step 6: Final answer
    x = 72,189,559.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.