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Finding the Third Proportional to 3,144,928 and 6,878,696

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Solution

The third proportional to 3,144,928 and 6,878,696 is: 15,045,323.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144,928 : 6,878,696 = 6,878,696 : x
  2. Step 2: Convert to fraction form
    3,144,928/6,878,696 = 6,878,696/x
  3. Step 3: Cross multiply
    3,144,928x = 6,878,696 × 6,878,696
  4. Step 4: Simplify right side
    3,144,928x = 47,316,458,660,416
  5. Step 5: Solve for x
    x = 47,316,458,660,416/3,144,928
  6. Step 6: Final answer
    x = 15,045,323.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.