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Finding the Third Proportional to 3,105,522 and 6,584,292

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Solution

The third proportional to 3,105,522 and 6,584,292 is: 13,959,940.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105,522 : 6,584,292 = 6,584,292 : x
  2. Step 2: Convert to fraction form
    3,105,522/6,584,292 = 6,584,292/x
  3. Step 3: Cross multiply
    3,105,522x = 6,584,292 × 6,584,292
  4. Step 4: Simplify right side
    3,105,522x = 43,352,901,141,264
  5. Step 5: Solve for x
    x = 43,352,901,141,264/3,105,522
  6. Step 6: Final answer
    x = 13,959,940.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.