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Finding the Third Proportional to 32,969,604 and 50,433,534

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Solution

The third proportional to 32,969,604 and 50,433,534 is: 77,148,071.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,969,604 : 50,433,534 = 50,433,534 : x
  2. Step 2: Convert to fraction form
    32,969,604/50,433,534 = 50,433,534/x
  3. Step 3: Cross multiply
    32,969,604x = 50,433,534 × 50,433,534
  4. Step 4: Simplify right side
    32,969,604x = 2,543,541,351,729,156
  5. Step 5: Solve for x
    x = 2,543,541,351,729,156/32,969,604
  6. Step 6: Final answer
    x = 77,148,071.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.