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Finding the Third Proportional to 2,961,712 and 6,384,160

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Solution

The third proportional to 2,961,712 and 6,384,160 is: 13,761,465.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961,712 : 6,384,160 = 6,384,160 : x
  2. Step 2: Convert to fraction form
    2,961,712/6,384,160 = 6,384,160/x
  3. Step 3: Cross multiply
    2,961,712x = 6,384,160 × 6,384,160
  4. Step 4: Simplify right side
    2,961,712x = 40,757,498,905,600
  5. Step 5: Solve for x
    x = 40,757,498,905,600/2,961,712
  6. Step 6: Final answer
    x = 13,761,465.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.