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Finding the Third Proportional to 3,105,720 and 6,584,688

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Solution

The third proportional to 3,105,720 and 6,584,688 is: 13,960,729.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105,720 : 6,584,688 = 6,584,688 : x
  2. Step 2: Convert to fraction form
    3,105,720/6,584,688 = 6,584,688/x
  3. Step 3: Cross multiply
    3,105,720x = 6,584,688 × 6,584,688
  4. Step 4: Simplify right side
    3,105,720x = 43,358,116,057,344
  5. Step 5: Solve for x
    x = 43,358,116,057,344/3,105,720
  6. Step 6: Final answer
    x = 13,960,729.25

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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.