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Finding the Third Proportional to 5,744,638 and 8,506,035

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Solution

The third proportional to 5,744,638 and 8,506,035 is: 12,594,811.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744,638 : 8,506,035 = 8,506,035 : x
  2. Step 2: Convert to fraction form
    5,744,638/8,506,035 = 8,506,035/x
  3. Step 3: Cross multiply
    5,744,638x = 8,506,035 × 8,506,035
  4. Step 4: Simplify right side
    5,744,638x = 72,352,631,421,225
  5. Step 5: Solve for x
    x = 72,352,631,421,225/5,744,638
  6. Step 6: Final answer
    x = 12,594,811.27

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.