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Finding the Third Proportional to 7,381,329.75 and 9,936,678.38

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Solution

The third proportional to 7,381,329.75 and 9,936,678.38 is: 13,376,665.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381,329.75 : 9,936,678.38 = 9,936,678.38 : x
  2. Step 2: Convert to fraction form
    7,381,329.75/9,936,678.38 = 9,936,678.38/x
  3. Step 3: Cross multiply
    7,381,329.75x = 9,936,678.38 × 9,936,678.38
  4. Step 4: Simplify right side
    7,381,329.75x = 98,737,577,128,192.64
  5. Step 5: Solve for x
    x = 98,737,577,128,192.64/7,381,329.75
  6. Step 6: Final answer
    x = 13,376,665.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.