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Finding the Third Proportional to 2,970,672 and 6,342,240

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Solution

The third proportional to 2,970,672 and 6,342,240 is: 13,540,373.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970,672 : 6,342,240 = 6,342,240 : x
  2. Step 2: Convert to fraction form
    2,970,672/6,342,240 = 6,342,240/x
  3. Step 3: Cross multiply
    2,970,672x = 6,342,240 × 6,342,240
  4. Step 4: Simplify right side
    2,970,672x = 40,224,008,217,600
  5. Step 5: Solve for x
    x = 40,224,008,217,600/2,970,672
  6. Step 6: Final answer
    x = 13,540,373.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.