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Finding the Third Proportional to 4,214,271 and 9,102,462

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Solution

The third proportional to 4,214,271 and 9,102,462 is: 19,660,533.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214,271 : 9,102,462 = 9,102,462 : x
  2. Step 2: Convert to fraction form
    4,214,271/9,102,462 = 9,102,462/x
  3. Step 3: Cross multiply
    4,214,271x = 9,102,462 × 9,102,462
  4. Step 4: Simplify right side
    4,214,271x = 82,854,814,461,444
  5. Step 5: Solve for x
    x = 82,854,814,461,444/4,214,271
  6. Step 6: Final answer
    x = 19,660,533.09

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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.