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Finding the Third Proportional to 4,615,852 and 10,044,462

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Solution

The third proportional to 4,615,852 and 10,044,462 is: 21,857,550.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615,852 : 10,044,462 = 10,044,462 : x
  2. Step 2: Convert to fraction form
    4,615,852/10,044,462 = 10,044,462/x
  3. Step 3: Cross multiply
    4,615,852x = 10,044,462 × 10,044,462
  4. Step 4: Simplify right side
    4,615,852x = 100,891,216,869,444
  5. Step 5: Solve for x
    x = 100,891,216,869,444/4,615,852
  6. Step 6: Final answer
    x = 21,857,550.21

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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.