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Finding the Third Proportional to 457,675,087.50 and 993,372,356.25

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Solution

The third proportional to 457,675,087.50 and 993,372,356.25 is: 2,156,089,909.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,675,087.50 : 993,372,356.25 = 993,372,356.25 : x
  2. Step 2: Convert to fraction form
    457,675,087.50/993,372,356.25 = 993,372,356.25/x
  3. Step 3: Cross multiply
    457,675,087.50x = 993,372,356.25 × 993,372,356.25
  4. Step 4: Simplify right side
    457,675,087.50x = 986,788,638,161,676,928
  5. Step 5: Solve for x
    x = 986,788,638,161,676,928/457,675,087.50
  6. Step 6: Final answer
    x = 2,156,089,909.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.