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Finding the Third Proportional to 3,172,882.38 and 4,833,681.44

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Solution

The third proportional to 3,172,882.38 and 4,833,681.44 is: 7,363,801.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172,882.38 : 4,833,681.44 = 4,833,681.44 : x
  2. Step 2: Convert to fraction form
    3,172,882.38/4,833,681.44 = 4,833,681.44/x
  3. Step 3: Cross multiply
    3,172,882.38x = 4,833,681.44 × 4,833,681.44
  4. Step 4: Simplify right side
    3,172,882.38x = 23,364,476,239,232.07
  5. Step 5: Solve for x
    x = 23,364,476,239,232.07/3,172,882.38
  6. Step 6: Final answer
    x = 7,363,801.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.