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Finding the Third Proportional to 7,581,528 and 11,647,368

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Solution

The third proportional to 7,581,528 and 11,647,368 is: 17,893,646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,581,528 : 11,647,368 = 11,647,368 : x
  2. Step 2: Convert to fraction form
    7,581,528/11,647,368 = 11,647,368/x
  3. Step 3: Cross multiply
    7,581,528x = 11,647,368 × 11,647,368
  4. Step 4: Simplify right side
    7,581,528x = 135,661,181,327,424
  5. Step 5: Solve for x
    x = 135,661,181,327,424/7,581,528
  6. Step 6: Final answer
    x = 17,893,646.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.