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Finding the Third Proportional to 3,117,344 and 6,708,160

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Solution

The third proportional to 3,117,344 and 6,708,160 is: 14,435,176.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117,344 : 6,708,160 = 6,708,160 : x
  2. Step 2: Convert to fraction form
    3,117,344/6,708,160 = 6,708,160/x
  3. Step 3: Cross multiply
    3,117,344x = 6,708,160 × 6,708,160
  4. Step 4: Simplify right side
    3,117,344x = 44,999,410,585,600
  5. Step 5: Solve for x
    x = 44,999,410,585,600/3,117,344
  6. Step 6: Final answer
    x = 14,435,176.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.