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Finding the Third Proportional to 2,942,228 and 6,348,924

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Solution

The third proportional to 2,942,228 and 6,348,924 is: 13,700,106.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942,228 : 6,348,924 = 6,348,924 : x
  2. Step 2: Convert to fraction form
    2,942,228/6,348,924 = 6,348,924/x
  3. Step 3: Cross multiply
    2,942,228x = 6,348,924 × 6,348,924
  4. Step 4: Simplify right side
    2,942,228x = 40,308,835,957,776
  5. Step 5: Solve for x
    x = 40,308,835,957,776/2,942,228
  6. Step 6: Final answer
    x = 13,700,106.16

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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.