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Finding the Third Proportional to 338,501,754 and 737,097,543

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Solution

The third proportional to 338,501,754 and 737,097,543 is: 1,605,051,617.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,501,754 : 737,097,543 = 737,097,543 : x
  2. Step 2: Convert to fraction form
    338,501,754/737,097,543 = 737,097,543/x
  3. Step 3: Cross multiply
    338,501,754x = 737,097,543 × 737,097,543
  4. Step 4: Simplify right side
    338,501,754x = 543,312,787,896,636,864
  5. Step 5: Solve for x
    x = 543,312,787,896,636,864/338,501,754
  6. Step 6: Final answer
    x = 1,605,051,617.83

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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.