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Finding the Third Proportional to 32,556,424 and 50,387,680.50

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Solution

The third proportional to 32,556,424 and 50,387,680.50 is: 77,985,172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,556,424 : 50,387,680.50 = 50,387,680.50 : x
  2. Step 2: Convert to fraction form
    32,556,424/50,387,680.50 = 50,387,680.50/x
  3. Step 3: Cross multiply
    32,556,424x = 50,387,680.50 × 50,387,680.50
  4. Step 4: Simplify right side
    32,556,424x = 2,538,918,346,170,080
  5. Step 5: Solve for x
    x = 2,538,918,346,170,080/32,556,424
  6. Step 6: Final answer
    x = 77,985,172.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.