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Finding the Third Proportional to 2,842,743 and 6,283,386

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Solution

The third proportional to 2,842,743 and 6,283,386 is: 13,888,325.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842,743 : 6,283,386 = 6,283,386 : x
  2. Step 2: Convert to fraction form
    2,842,743/6,283,386 = 6,283,386/x
  3. Step 3: Cross multiply
    2,842,743x = 6,283,386 × 6,283,386
  4. Step 4: Simplify right side
    2,842,743x = 39,480,939,624,996
  5. Step 5: Solve for x
    x = 39,480,939,624,996/2,842,743
  6. Step 6: Final answer
    x = 13,888,325.33

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.