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Finding the Third Proportional to 2,942,216 and 6,348,896

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Solution

The third proportional to 2,942,216 and 6,348,896 is: 13,700,041.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942,216 : 6,348,896 = 6,348,896 : x
  2. Step 2: Convert to fraction form
    2,942,216/6,348,896 = 6,348,896/x
  3. Step 3: Cross multiply
    2,942,216x = 6,348,896 × 6,348,896
  4. Step 4: Simplify right side
    2,942,216x = 40,308,480,418,816
  5. Step 5: Solve for x
    x = 40,308,480,418,816/2,942,216
  6. Step 6: Final answer
    x = 13,700,041.20

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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.