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Finding the Third Proportional to 8,357,712 and 18,106,584

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Solution

The third proportional to 8,357,712 and 18,106,584 is: 39,227,049.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357,712 : 18,106,584 = 18,106,584 : x
  2. Step 2: Convert to fraction form
    8,357,712/18,106,584 = 18,106,584/x
  3. Step 3: Cross multiply
    8,357,712x = 18,106,584 × 18,106,584
  4. Step 4: Simplify right side
    8,357,712x = 327,848,384,149,056
  5. Step 5: Solve for x
    x = 327,848,384,149,056/8,357,712
  6. Step 6: Final answer
    x = 39,227,049.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.