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Finding the Third Proportional to 338,501,771.72 and 737,097,572.53

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Solution

The third proportional to 338,501,771.72 and 737,097,572.53 is: 1,605,051,662.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,501,771.72 : 737,097,572.53 = 737,097,572.53 : x
  2. Step 2: Convert to fraction form
    338,501,771.72/737,097,572.53 = 737,097,572.53/x
  3. Step 3: Cross multiply
    338,501,771.72x = 737,097,572.53 × 737,097,572.53
  4. Step 4: Simplify right side
    338,501,771.72x = 543,312,831,431,446,592
  5. Step 5: Solve for x
    x = 543,312,831,431,446,592/338,501,771.72
  6. Step 6: Final answer
    x = 1,605,051,662.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.