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Finding the Third Proportional to 4,748,133 and 9,664,065

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Solution

The third proportional to 4,748,133 and 9,664,065 is: 19,669,658.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748,133 : 9,664,065 = 9,664,065 : x
  2. Step 2: Convert to fraction form
    4,748,133/9,664,065 = 9,664,065/x
  3. Step 3: Cross multiply
    4,748,133x = 9,664,065 × 9,664,065
  4. Step 4: Simplify right side
    4,748,133x = 93,394,152,324,225
  5. Step 5: Solve for x
    x = 93,394,152,324,225/4,748,133
  6. Step 6: Final answer
    x = 19,669,658.02

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.