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Finding the Third Proportional to 7,584,410 and 11,565,519

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Solution

The third proportional to 7,584,410 and 11,565,519 is: 17,636,339.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584,410 : 11,565,519 = 11,565,519 : x
  2. Step 2: Convert to fraction form
    7,584,410/11,565,519 = 11,565,519/x
  3. Step 3: Cross multiply
    7,584,410x = 11,565,519 × 11,565,519
  4. Step 4: Simplify right side
    7,584,410x = 133,761,229,739,361
  5. Step 5: Solve for x
    x = 133,761,229,739,361/7,584,410
  6. Step 6: Final answer
    x = 17,636,339.51

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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.