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Finding the Third Proportional to 2,578,377 and 5,615,520

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Solution

The third proportional to 2,578,377 and 5,615,520 is: 12,230,199.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578,377 : 5,615,520 = 5,615,520 : x
  2. Step 2: Convert to fraction form
    2,578,377/5,615,520 = 5,615,520/x
  3. Step 3: Cross multiply
    2,578,377x = 5,615,520 × 5,615,520
  4. Step 4: Simplify right side
    2,578,377x = 31,534,064,870,400
  5. Step 5: Solve for x
    x = 31,534,064,870,400/2,578,377
  6. Step 6: Final answer
    x = 12,230,199.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.