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Finding the Third Proportional to 15,181,752.75 and 32,782,649.25

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Solution

The third proportional to 15,181,752.75 and 32,782,649.25 is: 70,789,065.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,181,752.75 : 32,782,649.25 = 32,782,649.25 : x
  2. Step 2: Convert to fraction form
    15,181,752.75/32,782,649.25 = 32,782,649.25/x
  3. Step 3: Cross multiply
    15,181,752.75x = 32,782,649.25 × 32,782,649.25
  4. Step 4: Simplify right side
    15,181,752.75x = 1,074,702,091,848,525.50
  5. Step 5: Solve for x
    x = 1,074,702,091,848,525.50/15,181,752.75
  6. Step 6: Final answer
    x = 70,789,065.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.