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Finding the Third Proportional to 57,570,277.50 and 82,326,172.50

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Solution

The third proportional to 57,570,277.50 and 82,326,172.50 is: 117,727,392.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,570,277.50 : 82,326,172.50 = 82,326,172.50 : x
  2. Step 2: Convert to fraction form
    57,570,277.50/82,326,172.50 = 82,326,172.50/x
  3. Step 3: Cross multiply
    57,570,277.50x = 82,326,172.50 × 82,326,172.50
  4. Step 4: Simplify right side
    57,570,277.50x = 6,777,598,678,499,756
  5. Step 5: Solve for x
    x = 6,777,598,678,499,756/57,570,277.50
  6. Step 6: Final answer
    x = 117,727,392.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.