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Finding the Third Proportional to 6,083,511 and 9,416,502

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Solution

The third proportional to 6,083,511 and 9,416,502 is: 14,575,548.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,083,511 : 9,416,502 = 9,416,502 : x
  2. Step 2: Convert to fraction form
    6,083,511/9,416,502 = 9,416,502/x
  3. Step 3: Cross multiply
    6,083,511x = 9,416,502 × 9,416,502
  4. Step 4: Simplify right side
    6,083,511x = 88,670,509,916,004
  5. Step 5: Solve for x
    x = 88,670,509,916,004/6,083,511
  6. Step 6: Final answer
    x = 14,575,548.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.