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Finding the Third Proportional to 338,501,745.62 and 737,097,526.97

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Solution

The third proportional to 338,501,745.62 and 737,097,526.97 is: 1,605,051,587.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,501,745.62 : 737,097,526.97 = 737,097,526.97 : x
  2. Step 2: Convert to fraction form
    338,501,745.62/737,097,526.97 = 737,097,526.97/x
  3. Step 3: Cross multiply
    338,501,745.62x = 737,097,526.97 × 737,097,526.97
  4. Step 4: Simplify right side
    338,501,745.62x = 543,312,764,263,461,888
  5. Step 5: Solve for x
    x = 543,312,764,263,461,888/338,501,745.62
  6. Step 6: Final answer
    x = 1,605,051,587.77

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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.